Edit Profile (opens in new tab) Johnson, William Buhmann Co-Author Distance Author ID: johnson.william-b Published as: Johnson, W. B.; Johnson, William B.; Johnson, William more...less Homepage: https://www.math.tamu.edu/~johnson/ External Links: MGP · Wikidata · Google Scholar · MathOverflow · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 152 Publications since 1968, including 1 Book and 6 Additional arXiv Preprints 6 Contributions as Editor · 1 Further Contribution Co-Authors: 63 Co-Authors with 126 Joint Publications 1,240 Co-Co-Authors all top 5 Co-Authors 26 single-authored 43 Schechtman, Gideon 18 Lindenstrauss, Joram 13 Figiel, Tadeusz 8 Davis, William Jay 7 Preiss, David 6 Ghoussoub, Nassif A. 6 Maurey, Bernard 6 Zippin, M. 5 Szankowski, Andrzej 5 Tzafriri, Lior 4 Pisier, Gilles 4 Zheng, Bentuo 3 Dosev, Detelin T. 3 Girardi, Maria 3 Naor, Assaf 3 Odell, Edward 2 Bates, Sean M. 2 Casazza, Peter George 2 Chen, Dongyang 2 Cho, Chong-Man 2 Dyer, James A. 2 Farmer, Jeff Darrell 2 Fonf, Vladimir P. 2 García, César Luis 2 Kania, Tomasz 2 König, Hermann 2 Ortega Castillo, Sofía 2 Pełczyński, Aleksander 2 Retherford, James R. 2 Rosenthal, Haskell P. 2 Zinn, Joel 1 Alspach, Dale E. 1 Arias, Alvaro 1 Bennett, Grahame 1 Benyamini, Yoav 1 Boedihardjo, March T. 1 Bourgain, Jean 1 Castillo, Jesús M. F. 1 Cole, Brian J. 1 Dilworth, Stephen J. 1 Dor, Leonard E. 1 Dowling, Patrick N. 1 Erdélyi, Tamás 1 Figiel, Tadek 1 Gamelin, Theodore W. 1 Gao, Su 1 Goodman, Victor W. 1 Hagler, James N. 1 Hitczenko, Paweł 1 Jacoby, Liza 1 Kwapień, Stanisław 1 Leng, James 1 Lennard, Christopher J. 1 Li, Ruiwen 1 Lillemets, Rauni 1 Lin, Bor-Luh 1 Lindenstrauss, Ayelet 1 Lindenstrauss, Elon 1 Milman, Vitali D. 1 Nasseri, Amir Bahman 1 Newman, Charles Michael 1 Oikhberg, Timur 1 Oja, Eve 1 Ozawa, Narutaka 1 Phillips, N. Christopher 1 Plichko, Anatoliĭ Mykolaĭovych 1 Randrianantoanina, Narcisse 1 Randrianarivony, Nirina. Lovasoa 1 Savin, Guriĭ Nikolaevich 1 Shevchyk, V. V. 1 Shive, Robert A. jun. 1 Silva, Cesar E. 1 Tkocz, Tomasz 1 Turett, Barry 1 Wu, Yuxin 1 Xie, Zhifu all top 5 Serials 23 Israel Journal of Mathematics 17 Proceedings of the American Mathematical Society 14 Studia Mathematica 7 Transactions of the American Mathematical Society 6 Journal of Functional Analysis 4 Illinois Journal of Mathematics 3 Acta Mathematica 3 Bulletin of the London Mathematical Society 3 Canadian Mathematical Bulletin 3 Compositio Mathematica 3 Geometric and Functional Analysis. GAFA 2 American Mathematical Monthly 2 Houston Journal of Mathematics 2 The Annals of Probability 2 Colloquium Mathematicum 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Annalen 2 Michigan Mathematical Journal 2 Pacific Journal of Mathematics 2 Journal of the American Mathematical Society 2 Annals of Mathematics. Second Series 1 Journal d’Analyse Mathématique 1 Arkiv för Matematik 1 Applied Mathematics and Computation 1 Duke Mathematical Journal 1 Journal of Approximation Theory 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Portugaliae Mathematica 1 Proceedings of the London Mathematical Society. Third Series 1 Journal of Operator Theory 1 Discrete & Computational Geometry 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Positivity 1 Journal of the European Mathematical Society (JEMS) 1 Contemporary Mathematics 1 London Mathematical Society Lecture Note Series 1 Journal of Topology and Analysis all top 5 Fields 138 Functional analysis (46-XX) 49 Operator theory (47-XX) 7 Approximations and expansions (41-XX) 7 Probability theory and stochastic processes (60-XX) 5 General and overarching topics; collections (00-XX) 5 General topology (54-XX) 4 Convex and discrete geometry (52-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 134 Publications have been cited 2,863 times in 2,063 Documents Cited by ▼ Year ▼ Extensions of Lipschitz mappings into a Hilbert space. Zbl 0539.46017 Johnson, William B.; Lindenstrauss, Joram 347 1984 Factoring weakly compact operators. Zbl 0306.46020 Davis, W. J.; Figiel, T.; Johnson, W. B.; Pełczyński, Aleksander 206 1974 On bases, finite dimensional decompositions and weaker structures in Banach spaces. Zbl 0217.16103 Johnson, W. B.; Rosenthal, H. P.; Zippin, M. 127 1971 Symmetric structures in Banach spaces. Zbl 0421.46023 Johnson, W. B.; Maurey, B.; Schechtman, G.; Tzafriri, L. 116 1979 A uniformly convex Banach space which contains no \(\ell_p\). Zbl 0301.46013 Figiel, T.; Johnson, W. B. 103 1974 Basic concepts in the geometry of Banach spaces. Zbl 1011.46009 Johnson, William B.; Lindenstrauss, Joram 89 2001 Best constants in moment inequalities for linear combinations of independent and exchangeable random variables. Zbl 0564.60020 Johnson, W. B.; Schechtman, G.; Zinn, J. 70 1985 On Banach lattices and spaces having local unconditional structure, with applications to Lorentz function spaces. Zbl 0307.46007 Figiel, T.; Johnson, W. B.; Tzafriri, L. 67 1975 On \(\omega^ *\)-basic sequences and their applications to the study of Banach spaces. Zbl 0213.39301 Johnson, W. B.; Rosenthal, H. P. 66 1972 Handbook of the geometry of Banach spaces. Volume 1. Zbl 0970.46001 58 2001 Some remarks on weakly compactly generated Banach spaces. Zbl 0306.46021 Johnson, W. B.; Lindenstrauss, J. 57 1974 On uncomplemented subspaces of \(L_p\), \(1<p<2\). Zbl 0339.46022 Bennett, G.; Dor, L. E.; Goodman, V.; Johnson, W. B.; Newman, C. M. 53 1977 Factoring compact operators. Zbl 0236.47045 Johnson, William B. 53 1971 Sums of independent random variables in rearrangement invariant function spaces. Zbl 0674.60051 Johnson, William B.; Schechtman, G. 52 1989 Eigenvalues of \(p\)-summing and \(\ell_p\)-type operators in Banach spaces. Zbl 0408.47019 Johnson, W. B.; König, H.; Maurey, B.; Retherford, J. R. 47 1979 Lipschitz \(p\)-summing operators. Zbl 1183.46020 Farmer, Jeffrey D.; Johnson, William B. 44 2009 Affine approximation of Lipschitz functions and nonlinear quotients. Zbl 0954.46014 Bates, S.; Johnson, W. B.; Lindenstrauss, J.; Preiss, D.; Schechtman, G. 42 1999 Extensions of Lipschitz maps into Banach spaces. Zbl 0626.46007 Johnson, William B.; Lindenstrauss, Joram; Schechtman, Gideon 40 1986 Almost Fréchet differentiability of Lipschitz mappings between infinite-dimensional Banach spaces. Zbl 1023.46046 Johnson, William B.; Lindenstrauss, Joram; Preiss, David; Schechtman, Gideon 38 2002 Subspaces of \(L_p\) which embed into \(l_p\). Zbl 0282.46020 Johnson, W. B.; Odell, E. 37 1974 The approximation property does not imply the bounded approximation property. Zbl 0289.46015 Figiel, T.; Johnson, W. B. 37 1973 Banach spaces determined by their uniform structures. Zbl 0864.46008 Johnson, W. B.; Lindenstrauss, J.; Schechtman, G. 35 1996 Diamond graphs and super-reflexivity. Zbl 1183.46022 Johnson, William B.; Schechtman, Gideon 31 2009 On Tsirelson’s space. Zbl 0543.46012 Casazza, P. G.; Johnson, W. B.; Tzafriri, L. 30 1984 On Banach spaces whose dual balls are not weak\(^*\) sequentially compact. Zbl 0365.46019 Hagler, J.; Johnson, W. B. 30 1977 \(\ell_p\) (\(p>2\)) does not coarsely embed into a Hilbert space. Zbl 1097.46051 Johnson, William B.; Randrianarivony, N. Lovasoa 29 2006 Separable lifting property and extensions of local reflexivity. Zbl 1004.46008 Johnson, William B.; Oikhberg, Timur 26 2001 The optimality of James’s distortion theorems. Zbl 0860.46005 Dowling, P. N.; Johnson, W. B.; Lennard, C. J.; Turett, B. 26 1997 Some approximation properties of Banach spaces and Banach lattices. Zbl 1235.46027 Figiel, Tadeusz; Johnson, William B.; Pełczyński, Aleksander 25 2011 Extremal properties of Rademacher functions with applications to the Khintchine and Rosenthal inequalities. Zbl 0867.60006 Figiel, T.; Hitczenko, P.; Johnson, W. B.; Schechtman, G.; Zinn, J. 25 1997 Martingale inequalities in rearrangement invariant function spaces. Zbl 0672.60049 Johnson, W. B.; Schechtman, G. 24 1989 Stress concentration around holes. Zbl 0100.19808 Savin, G. N. 24 1960 Polynomial Schur and polynomial Dunford-Pettis properties. Zbl 0822.46013 Farmer, Jeff; Johnson, William B. 24 1993 Handbook of the geometry of Banach spaces. Volume 2. Zbl 1013.46001 23 2003 Subspaces and quotient spaces of \((\sum G_n)_{l_p}\) and \((\sum G_n)_{c_0}\). Zbl 0282.46015 Johnson, W. B.; Zippin, M. 22 1974 A reflexive Banach space which is not sufficiently Euclidean. Zbl 0362.46015 Johnson, William B. 22 1976 On quotients of \(L_p\) which are quotients of \(\ell_p\). Zbl 0375.46023 Johnson, W. B. 22 1977 Finite dimensional subspaces of \(L_p\). Zbl 1012.46012 Johnson, William B.; Schechtman, Gideon 21 2001 On subspaces of quotients of (\(\sum G_n\))\(l_p\) and (\(\sum G_n\))\(c_0\). Proc. internat. Sympos. partial diff. Equ. Geometry normed lin. Spaces II. Zbl 0252.46025 Johnson, W. B.; Zippin, M. 21 1973 Factoring operators through Banach lattices not containing C(0,1). Zbl 0618.46025 Ghoussoub, N.; Johnson, W. B. 20 1987 Large subspaces of \(\ell^n_\infty\) and estimates of the Gordon-Lewis constant. Zbl 0445.46012 Figiel, T.; Johnson, W. B. 20 1980 On the existence of fundamental and total bounded biorthogonal systems in Banach spaces. Zbl 0256.46026 Davis, W. J.; Johnson, W. B. 19 1973 Embedding \(l_ p^ m\) into \(l_ 1^ n\). Zbl 0522.46015 Johnson, William B.; Schechtman, Gideon 17 1982 Commutators on \(\ell_\infty\). Zbl 1190.47036 Dosev, D.; Johnson, W. B. 16 2010 On the existence of strongly series summable Markuschevich bases in Banach spaces. Zbl 0221.46016 Johnson, William B. 16 1971 Separable L\(_1\) preduals are quotients of C(\(\Delta\)). Zbl 0283.46007 Johnson, W. B.; Zippin, M. 16 1974 On finite dimensional subspaces of Banach spaces with local unconditional structure. Zbl 0301.46012 Johnson, William B. 16 1974 Analytic disks in fibers over the unit ball of a Banach space. Zbl 0792.46016 Cole, B. J.; Gamelin, T. W.; Johnson, W. B. 16 1992 Commutators on \(L_p\), \(1\leq p <\infty\). Zbl 1278.47038 Dosev, Detelin; Johnson, William B.; Schechtman, Gideon 16 2013 A characterization of subspaces \(X\) of \(\ell _ p\) for which \(K(X)\) is an \(M\)- ideal in \(L(X)\). Zbl 0537.47010 Cho, Chong-man; Johnson, William B. 15 1985 On the structure of non-weakly compact operators on Banach lattices. Zbl 0507.46013 Figiel, T.; Ghoussoub, N.; Johnson, W. B. 14 1981 The “full Müntz theorem” in \(L_p[0,1]\) for \(0<p<\infty\). Zbl 1222.41024 Erdélyi, Tamás; Johnson, William B. 14 2001 Every \(L_p\) operator is an \(L_2\) operator. Zbl 0391.46026 Johnson, W. B.; Jones, L. 14 1978 A characterization of subspaces and quotients of reflexive Banach spaces with unconditional bases. Zbl 1146.46003 Johnson, W. B.; Zheng, Bentuo 12 2008 On the relation between several notions of unconditional structure. Zbl 0488.46012 Johnson, W. B.; Lindenstrauss, J.; Schechtman, G. 12 1980 A complementably universal conjugate Banach space and its relation to the approximation problem. Proc. internat. Sympos. partial diff. Equ. Geometry normed lin. Spaces II. Zbl 0252.46024 Johnson, William B. 12 1973 Compact, non-nuclear operators. Zbl 0286.47015 Davis, William J.; Johnson, William B. 11 1974 Extensions of \(c_0\). Zbl 0912.46018 Johnson, William B. 11 1997 Uniform quotient mappings of the plane. Zbl 1004.54019 Johnson, W. B.; Lindenstrauss, J.; Preiss, D.; Schechtman, G. 10 2000 Lipschitz quotients from metric trees and from Banach spaces containing \(\ell _{1}\). Zbl 1013.46012 Johnson, William B.; Lindenstrauss, Joram; Preiss, David; Schechtman, Gideon 10 2002 A renorming of nonreflexive Banach spaces. Zbl 0259.46014 Davis, William J.; Johnson, William B. 10 1973 On quasi-complements. Zbl 0283.46008 Johnson, William B. 10 1973 Markushevich bases and duality theory. Zbl 0194.43403 Johnson, W. B. 10 1970 Extension of operators from weak*-closed subspaces of \(\ell_ 1\) into \(C(K)\) spaces. Zbl 0851.46017 Johnson, W. B.; Zippin, M. 9 1995 Commutators on \((\sum \ell_q)_p\). Zbl 1232.47031 Chen, Dongyang; Johnson, William B.; Zheng, Bentuo 9 2011 An example of an asymptotically Hilbertian space which fails the approximation property. Zbl 0983.46022 Casazza, P. G.; García, C. L.; Johnson, W. B. 9 2001 Complementably universal Banach spaces. Zbl 0341.46017 Johnson, W. B.; Szankowski, A. 9 1976 A universal non-compact operator. Zbl 0225.47009 Johnson, William B. 9 1971 On the local structure of subspaces of Banach lattices. Zbl 0311.46003 Johnson, W. B.; Tzafriri, L. 9 1975 Extension of operators from subspaces of \(c_ 0(\Gamma)\) into C(K) spaces. Zbl 0697.46006 Johnson, W. B.; Zippin, M. 9 1989 Remarks on Talagrand’s deviation inequality for Rademacher functions. Zbl 0753.60024 Johnson, William B.; Schechtman, Gideon 9 1991 Operators into \(L_p\) which factor through \(\ell_p\). Zbl 0413.47025 Johnson, William B. 9 1976 Hereditary approximation property. Zbl 1272.46012 Johnson, W. B.; Szankowski, A. 9 2012 Subspaces and quotients of \(l_ p\) + \(l_ 2\) and \(X_ p\). Zbl 0484.46020 Johnson, W. B.; Odell, E. 8 1981 Very tight embeddings of subspaces of \(L_p\), \(1 \leq p < 2\), into \(\ell^n_p\). Zbl 1036.46008 Johnson, William B.; Schechtman, Gideon 8 2003 The \(\ell^n_1\) problem and degrees of non-reflexivity. Zbl 0344.46031 Davis, W. J.; Johnson, W. B.; Lindenstrauss, J. 8 1976 Basic sequences and norming subspaces in non-quasi-reflexive Banach spaces. Zbl 0273.46009 Davis, William J.; Johnson, William B. 8 1973 Multiplication operators on \(L(L_{p})\) and \(\ell_{p}\)-strictly singular operators. Zbl 1165.46010 Johnson, William B.; Schechtman, Gideon 8 2008 Ideals in \(L(L_1)\). Zbl 1485.47123 Johnson, W. B.; Pisier, G.; Schechtman, G. 8 2020 Factorizations of natural embeddings of \(\ell ^ n_ p\) into \(L_ r\). I. Zbl 0671.46009 Figiel, T.; Johnson, W. B.; Schechtman, G. 7 1988 On subspaces of \(L_ 1\) with maximal distances of Euclidean space. Zbl 0522.46014 Johnson, W. B.; Schechtman, G. 7 1982 The Johnson-Lindenstrauss lemma almost characterizes Hilbert space, but not quite. Zbl 1196.46013 Johnson, William B.; Naor, Assaf 7 2010 Weakly null sequences in \(L_1\). Zbl 1125.46014 Johnson, William B.; Maurey, Bernard; Schechtman, Gideon 7 2007 Some more Banach spaces which do not have local unconditional structure. Zbl 0343.46014 Johnson, W. B.; Tzafriri, L. 7 1977 Non-linear factorization of linear operators. Zbl 1183.46021 Johnson, W. B.; Maurey, B.; Schechtman, G. 7 2009 Universal non-completely-continuous operators. Zbl 0895.47011 Girardi, Maria; Johnson, William B. 7 1997 Banach spaces all of whose subspaces have the approximation property. Zbl 0441.46014 Johnson, W. B. 7 1980 No infinite dimensional P space admits a Markuschevich basis. Zbl 0205.12205 Johnson, W. B. 7 1970 A Schauder basis for \(L_{1}(0,\infty)\) consisting of non-negative functions. Zbl 1345.46006 Johnson, William B.; Schechtman, Gideon 7 2015 The cluster value problem in spaces of continuous functions. Zbl 1314.32011 Johnson, W. B.; Castillo, S. Ortega 7 2015 The diameter of the isomorphism class of a Banach space. Zbl 1098.46011 Johnson, W. B.; Odell, E. 6 2005 Finite-dimensional Schauder decompositions in \(\pi^ \lambda\) and dual \(\pi^ \lambda\) spaces. Zbl 0198.46901 Johnson, William B. 6 1970 Representing completely continuous operators through weakly compact operators. Zbl 1353.47039 Johnson, William B.; Lillemets, Rauni; Oja, Eve 6 2016 Injective Tauberian operators on \(L_1\) and operators with dense range on \(\ell_\infty\). Zbl 1330.47003 Johnson, William; Nasseri, Amir Bahman; Schechtman, Gideon; Tkocz, Tomasz 6 2015 Complementably universal Banach spaces. II. Zbl 1193.46004 Johnson, W. B.; Szankowski, A. 5 2009 Counterexamples to several problems on the factorization of bounded linear operators. Zbl 0615.46022 Ghoussoub, N.; Johnson, W. B. 5 1984 The proportional UAP characterizes weak Hilbert spaces. Zbl 0758.46024 Johnson, W. B.; Pisier, G. 5 1991 Examples of \(\mathscr{L}_ 1\) spaces. Zbl 0464.46024 Johnson, W. B.; Lindenstrauss, J. 5 1980 Closed ideals of operators on and complemented subspaces of Banach spaces of functions with countable support. Zbl 1372.46017 Johnson, William B.; Kania, Tomasz; Schechtman, Gideon 5 2016 On Lipschitz embedding of finite metric spaces in low dimensional normed spaces. Zbl 0631.46016 Johnson, William B.; Lindenstrauss, Joram; Schechtman, Gideon 4 1987 The SHAI property for the operators on \(L^p\). Zbl 1496.47127 Johnson, W. B.; Phillips, N. C.; Schechtman, G. 1 2022 The number of closed ideals in \(L(L_p)\). Zbl 07454650 Johnson, William B.; Schechtman, Gideon 2 2021 Ideals in \(L(L_1)\). Zbl 1485.47123 Johnson, W. B.; Pisier, G.; Schechtman, G. 8 2020 Super central configurations in the collinear 5-body problem. Zbl 1474.37114 Xie, Zhifu; Johnson, William 1 2020 Embedding Banach spaces into the space of bounded functions with countable support. Zbl 1447.46019 Johnson, William B.; Kania, Tomasz 2 2019 Representing completely continuous operators through weakly compact operators. Zbl 1353.47039 Johnson, William B.; Lillemets, Rauni; Oja, Eve 6 2016 Closed ideals of operators on and complemented subspaces of Banach spaces of functions with countable support. Zbl 1372.46017 Johnson, William B.; Kania, Tomasz; Schechtman, Gideon 5 2016 The Lidskii trace property and the nest approximation property in Banach spaces. Zbl 1348.46021 Figiel, T.; Johnson, W. B. 4 2016 Book review of: M. I. Ostrovskii, Metric embeddings: Bilipschitz and coarse embedddings into Banach spaces. Zbl 1337.00009 Baudier, Florent P.; Johnson, William B. 2 2016 A Schauder basis for \(L_{1}(0,\infty)\) consisting of non-negative functions. Zbl 1345.46006 Johnson, William B.; Schechtman, Gideon 7 2015 The cluster value problem in spaces of continuous functions. Zbl 1314.32011 Johnson, W. B.; Castillo, S. Ortega 7 2015 Injective Tauberian operators on \(L_1\) and operators with dense range on \(\ell_\infty\). Zbl 1330.47003 Johnson, William; Nasseri, Amir Bahman; Schechtman, Gideon; Tkocz, Tomasz 6 2015 On mean ergodic convergence in the Calkin algebras. Zbl 1339.47014 Boedihardjo, March T.; Johnson, William B. 4 2015 The dual form of the approximation property for a Banach space and a subspace. Zbl 1368.46023 Figiel, T.; Johnson, W. B. 3 2015 The cluster value problem for Banach spaces. Zbl 1320.32009 Johnson, W. B.; Ortega Castillo, S. 3 2014 Subspaces of \(L_p\) that embed into \(L_p(\mu)\) with \(\mu\) finite. Zbl 1315.46029 Johnson, William B.; Schechtman, Gideon 2 2014 The trace formula in Banach spaces. Zbl 1314.46015 Johnson, W. B.; Szankowski, A. 2 2014 Commutators on \(L_p\), \(1\leq p <\infty\). Zbl 1278.47038 Dosev, Detelin; Johnson, William B.; Schechtman, Gideon 16 2013 A quantitative version of the commutator theorem for zero trace matrices. Zbl 1297.15027 Johnson, William B.; Ozawa, Narutaka; Schechtman, Gideon 1 2013 Hereditary approximation property. Zbl 1272.46012 Johnson, W. B.; Szankowski, A. 9 2012 Some approximation properties of Banach spaces and Banach lattices. Zbl 1235.46027 Figiel, Tadeusz; Johnson, William B.; Pełczyński, Aleksander 25 2011 Commutators on \((\sum \ell_q)_p\). Zbl 1232.47031 Chen, Dongyang; Johnson, William B.; Zheng, Bentuo 9 2011 Subspaces and quotients of Banach spaces with shrinking unconditional bases. Zbl 1263.46012 Johnson, W. B.; Zheng, Bentuo 4 2011 Commutators on \(\ell_\infty\). Zbl 1190.47036 Dosev, D.; Johnson, W. B. 16 2010 The Johnson-Lindenstrauss lemma almost characterizes Hilbert space, but not quite. Zbl 1196.46013 Johnson, William B.; Naor, Assaf 7 2010 Lipschitz \(p\)-summing operators. Zbl 1183.46020 Farmer, Jeffrey D.; Johnson, William B. 44 2009 Diamond graphs and super-reflexivity. Zbl 1183.46022 Johnson, William B.; Schechtman, Gideon 31 2009 Non-linear factorization of linear operators. Zbl 1183.46021 Johnson, W. B.; Maurey, B.; Schechtman, G. 7 2009 Complementably universal Banach spaces. II. Zbl 1193.46004 Johnson, W. B.; Szankowski, A. 5 2009 The Johnson-Lindenstrauss lemma almost characterizes Hilbert space, but not quite. Zbl 1423.46020 Johnson, William B.; Naor, Assaf 1 2009 A characterization of subspaces and quotients of reflexive Banach spaces with unconditional bases. Zbl 1146.46003 Johnson, W. B.; Zheng, Bentuo 12 2008 Multiplication operators on \(L(L_{p})\) and \(\ell_{p}\)-strictly singular operators. Zbl 1165.46010 Johnson, William B.; Schechtman, Gideon 8 2008 Weakly null sequences in \(L_1\). Zbl 1125.46014 Johnson, William B.; Maurey, Bernard; Schechtman, Gideon 7 2007 On complemented versions of James’s distortion theorems. Zbl 1127.46005 Johnson, William B.; Randrianantoanina, Narcisse 1 2007 \(\ell_p\) (\(p>2\)) does not coarsely embed into a Hilbert space. Zbl 1097.46051 Johnson, William B.; Randrianarivony, N. Lovasoa 29 2006 Covering a compact set in a Banach space by an operator range of a Banach space with basis. Zbl 1091.46012 Fonf, V. P.; Johnson, W. B.; Plichko, A. M.; Shevchyk, V. V. 2 2006 The diameter of the isomorphism class of a Banach space. Zbl 1098.46011 Johnson, W. B.; Odell, E. 6 2005 Several remarks concerning the local theory of \(L_p\) spaces. Zbl 1085.46006 Johnson, W. B.; Schechtman, G. 3 2004 Handbook of the geometry of Banach spaces. Volume 2. Zbl 1013.46001 23 2003 Very tight embeddings of subspaces of \(L_p\), \(1 \leq p < 2\), into \(\ell^n_p\). Zbl 1036.46008 Johnson, William B.; Schechtman, Gideon 8 2003 Stochastic approximation properties in Banach spaces. Zbl 1059.46017 Fonf, V. P.; Johnson, W. B.; Pisier, G.; Preiss, D. 4 2003 Power type uniform convexity of \(\mathfrak X\) via \(p\)-asymptotic uniform convexity of \(L_r(\mathfrak X)\). Zbl 1067.46017 García, César L.; Johnson, William B. 1 2003 Almost Fréchet differentiability of Lipschitz mappings between infinite-dimensional Banach spaces. Zbl 1023.46046 Johnson, William B.; Lindenstrauss, Joram; Preiss, David; Schechtman, Gideon 38 2002 Lipschitz quotients from metric trees and from Banach spaces containing \(\ell _{1}\). Zbl 1013.46012 Johnson, William B.; Lindenstrauss, Joram; Preiss, David; Schechtman, Gideon 10 2002 Basic concepts in the geometry of Banach spaces. Zbl 1011.46009 Johnson, William B.; Lindenstrauss, Joram 89 2001 Handbook of the geometry of Banach spaces. Volume 1. Zbl 0970.46001 58 2001 Separable lifting property and extensions of local reflexivity. Zbl 1004.46008 Johnson, William B.; Oikhberg, Timur 26 2001 Finite dimensional subspaces of \(L_p\). Zbl 1012.46012 Johnson, William B.; Schechtman, Gideon 21 2001 The “full Müntz theorem” in \(L_p[0,1]\) for \(0<p<\infty\). Zbl 1222.41024 Erdélyi, Tamás; Johnson, William B. 14 2001 An example of an asymptotically Hilbertian space which fails the approximation property. Zbl 0983.46022 Casazza, P. G.; García, C. L.; Johnson, W. B. 9 2001 Uniform quotient mappings of the plane. Zbl 1004.54019 Johnson, W. B.; Lindenstrauss, J.; Preiss, D.; Schechtman, G. 10 2000 Geometry of Banach spaces and biorthogonal systems. Zbl 0963.46009 Dilworth, S. J.; Girardi, Maria; Johnson, W. B. 2 2000 Affine approximation of Lipschitz functions and nonlinear quotients. Zbl 0954.46014 Bates, S.; Johnson, W. B.; Lindenstrauss, J.; Preiss, D.; Schechtman, G. 42 1999 The optimality of James’s distortion theorems. Zbl 0860.46005 Dowling, P. N.; Johnson, W. B.; Lennard, C. J.; Turett, B. 26 1997 Extremal properties of Rademacher functions with applications to the Khintchine and Rosenthal inequalities. Zbl 0867.60006 Figiel, T.; Hitczenko, P.; Johnson, W. B.; Schechtman, G.; Zinn, J. 25 1997 Extensions of \(c_0\). Zbl 0912.46018 Johnson, William B. 11 1997 Universal non-completely-continuous operators. Zbl 0895.47011 Girardi, Maria; Johnson, William B. 7 1997 Banach spaces determined by their uniform structures. Zbl 0864.46008 Johnson, W. B.; Lindenstrauss, J.; Schechtman, G. 35 1996 Extension of operators from weak*-closed subspaces of \(\ell_ 1\) into \(C(K)\) spaces. Zbl 0851.46017 Johnson, W. B.; Zippin, M. 9 1995 Banach spaces with the 2-summing property. Zbl 0843.46007 Arias, A.; Figiel, T.; Johnson, W. B.; Schechtman, G. 2 1995 Polynomial Schur and polynomial Dunford-Pettis properties. Zbl 0822.46013 Farmer, Jeff; Johnson, William B. 24 1993 Analytic disks in fibers over the unit ball of a Banach space. Zbl 0792.46016 Cole, B. J.; Gamelin, T. W.; Johnson, W. B. 16 1992 Remarks on Talagrand’s deviation inequality for Rademacher functions. Zbl 0753.60024 Johnson, William B.; Schechtman, Gideon 9 1991 The proportional UAP characterizes weak Hilbert spaces. Zbl 0758.46024 Johnson, W. B.; Pisier, G. 5 1991 On the distance of subspaces of \(\ell_ p^ n\) to \(\ell_ p^ k\). Zbl 0758.46023 Johnson, William B.; Schechtman, Gideon 2 1991 Factorizations of natural embeddings of \(\ell^ n_ p\) into \(L_ r\). II. Zbl 0764.46018 Figiel, T.; Johnson, W. B.; Schechtman, G. 1 1991 Weak convergence of vector valued martingales. Zbl 0709.60007 Davis, W. J.; Ghoussoub, N.; Johnson, W. B.; Kwapien, S.; Maurey, B. 2 1990 Sums of independent random variables in rearrangement invariant function spaces. Zbl 0674.60051 Johnson, William B.; Schechtman, G. 52 1989 Martingale inequalities in rearrangement invariant function spaces. Zbl 0672.60049 Johnson, W. B.; Schechtman, G. 24 1989 Extension of operators from subspaces of \(c_ 0(\Gamma)\) into C(K) spaces. Zbl 0697.46006 Johnson, W. B.; Zippin, M. 9 1989 Factorizations of natural embeddings of \(\ell ^ n_ p\) into \(L_ r\). I. Zbl 0671.46009 Figiel, T.; Johnson, W. B.; Schechtman, G. 7 1988 Random sign embeddings from \(\ell ^ n_ r\), \(2<r<\infty\). Zbl 0655.46016 Figiel, T.; Johnson, W. B.; Schechtman, G. 4 1988 Homogeneous Banach spaces. Zbl 0651.46018 Johnson, William B. 2 1988 Factoring operators through Banach lattices not containing C(0,1). Zbl 0618.46025 Ghoussoub, N.; Johnson, W. B. 20 1987 On Lipschitz embedding of finite metric spaces in low dimensional normed spaces. Zbl 0631.46016 Johnson, William B.; Lindenstrauss, Joram; Schechtman, Gideon 4 1987 Extensions of Lipschitz maps into Banach spaces. Zbl 0626.46007 Johnson, William B.; Lindenstrauss, Joram; Schechtman, Gideon 40 1986 M-ideals and ideals in L(X). Zbl 0623.46022 Cho, Chong-Man; Johnson, William B. 3 1986 Best constants in moment inequalities for linear combinations of independent and exchangeable random variables. Zbl 0564.60020 Johnson, W. B.; Schechtman, G.; Zinn, J. 70 1985 A characterization of subspaces \(X\) of \(\ell _ p\) for which \(K(X)\) is an \(M\)- ideal in \(L(X)\). Zbl 0537.47010 Cho, Chong-man; Johnson, William B. 15 1985 Extensions of Lipschitz mappings into a Hilbert space. Zbl 0539.46017 Johnson, William B.; Lindenstrauss, Joram 347 1984 On Tsirelson’s space. Zbl 0543.46012 Casazza, P. G.; Johnson, W. B.; Tzafriri, L. 30 1984 Counterexamples to several problems on the factorization of bounded linear operators. Zbl 0615.46022 Ghoussoub, N.; Johnson, W. B. 5 1984 Projections onto \(l_1\) subspaces of \(L_1(\mu)\). Zbl 0516.46014 Alspach, Dale E.; Johnson, William B. 1 1983 Embedding \(l_ p^ m\) into \(l_ 1^ n\). Zbl 0522.46015 Johnson, William B.; Schechtman, Gideon 17 1982 On subspaces of \(L_ 1\) with maximal distances of Euclidean space. Zbl 0522.46014 Johnson, W. B.; Schechtman, G. 7 1982 On the structure of non-weakly compact operators on Banach lattices. Zbl 0507.46013 Figiel, T.; Ghoussoub, N.; Johnson, W. B. 14 1981 Subspaces and quotients of \(l_ p\) + \(l_ 2\) and \(X_ p\). Zbl 0484.46020 Johnson, W. B.; Odell, E. 8 1981 Large subspaces of \(\ell^n_\infty\) and estimates of the Gordon-Lewis constant. Zbl 0445.46012 Figiel, T.; Johnson, W. B. 20 1980 On the relation between several notions of unconditional structure. Zbl 0488.46012 Johnson, W. B.; Lindenstrauss, J.; Schechtman, G. 12 1980 Banach spaces all of whose subspaces have the approximation property. Zbl 0441.46014 Johnson, W. B. 7 1980 Examples of \(\mathscr{L}_ 1\) spaces. Zbl 0464.46024 Johnson, W. B.; Lindenstrauss, J. 5 1980 Banach spaces all of whose subspaces have the approximation property. Zbl 0442.46011 Johnson, William B. 3 1980 Symmetric structures in Banach spaces. Zbl 0421.46023 Johnson, W. B.; Maurey, B.; Schechtman, G.; Tzafriri, L. 116 1979 Eigenvalues of \(p\)-summing and \(\ell_p\)-type operators in Banach spaces. Zbl 0408.47019 Johnson, W. B.; König, H.; Maurey, B.; Retherford, J. R. 47 1979 Correction to ”Some remarks on weakly compactly generated Banach spaces”. Zbl 0444.46015 Johnson, W. B.; Lindenstrauss, J. 4 1979 Every \(L_p\) operator is an \(L_2\) operator. Zbl 0391.46026 Johnson, W. B.; Jones, L. 14 1978 Eigenvalues of \(p\)-summing and \(\ell_p\)-type operators in Banach spaces. Zbl 0408.47020 Johnson, W. B.; König, H.; Maurey, B.; Retherford, J. R. 2 1978 On uncomplemented subspaces of \(L_p\), \(1<p<2\). Zbl 0339.46022 Bennett, G.; Dor, L. E.; Goodman, V.; Johnson, W. B.; Newman, C. M. 53 1977 On Banach spaces whose dual balls are not weak\(^*\) sequentially compact. Zbl 0365.46019 Hagler, J.; Johnson, W. B. 30 1977 On quotients of \(L_p\) which are quotients of \(\ell_p\). Zbl 0375.46023 Johnson, W. B. 22 1977 ...and 34 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,798 Authors 49 Astashkin, Sergeĭ Vladimir 48 Johnson, William Buhmann 33 Naor, Assaf 29 González Ortiz, Manuel 29 Schechtman, Gideon 27 Oja, Eve 26 Castillo, Jesús M. F. 26 Schlumprecht, Thomas 26 Sukochev, Fedor Anatol’evich 25 Dilworth, Stephen J. 25 Odell, Edward 24 Argyros, Spiros A. 23 Ostrovskii, Mikhail Iosifovich 20 Causey, Ryan Michael 20 Hájek, Petr 20 Motakis, Pavlos 19 Tradacete Pérez, Pedro 19 Zheng, Bentuo 17 Bourgain, Jean 17 Kalton, Nigel John 17 Lancien, Gilles 16 Godefroy, Gilles 16 Hernández Rodriguez, Francisco L. 16 Kutzarova, Denka N. 16 Rodríguez Ruiz, José 15 Fonf, Vladimir P. 14 Galego, Elói Medina 14 Rosenthal, Haskell P. 13 Cabello Sánchez, Félix 13 Chen, Dongyang 13 Kania, Tomasz 13 Lindenstrauss, Joram 13 Pellegrino, Daniel Marinho 13 Pisier, Gilles 13 Zizler, Vaclav E. 12 Milman, Vitali D. 12 Plichko, Anatoliĭ Mykolaĭovych 12 Semënov, Evgeniĭ Mikhaĭlovich 11 Albiac, Fernando 11 Beanland, Kevin 11 Jiao, Yong 11 Koszmider, Piotr B. 11 Martínez-Abejón, Antonio 11 Pietsch, Albrecht 10 Cheng, Lixin 10 de Mendonça Braga, Bruno 10 Figiel, Tadeusz 10 Laustsen, Niels Jakob 10 Maligranda, Lech 10 Tomczak-Jaegermann, Nicole 10 Zanin, Dmitriy V. 9 Gordon, Yehoram 9 John, Kamil 9 Jung, Mingu 9 Lima, Vegard 9 Neiman, Ofer 9 Oikhberg, Timur 9 Randrianantoanina, Beata 9 Randrianantoanina, Narcisse 9 Tzafriri, Lior 8 Ansorena, José Luis 8 Botelho, Geraldo 8 Casazza, Peter George 8 Chávez-Domínguez, Javier Alejandro 8 Ghoussoub, Nassif A. 8 Junge, Marius 8 Kim, Ju Myung 8 König, Hermann 8 Liberti, Leo 8 Lima, Asvald 8 Maleva, Olga 8 Mendel, Manor 8 Moreno, Yolanda 8 Pfitzner, Hermann 8 Randrianarivony, Nirina. Lovasoa 8 Reinov, Oleg I. 8 Rueda Zoca, Abraham 8 Wojtaszczyk, Przemyslaw 7 Abrahamsen, Trond Arnold 7 Alspach, Dale E. 7 Álvarez Seco, Teresa 7 Aron, Richard Martin 7 Bellenot, Steven F. 7 Carl, Bernd 7 Cheng, Qingjin 7 Davis, William Jay 7 Ferenczi, Valentin 7 Gasparis, Ioannis 7 Godun, B. V. 7 Gutiérrez, Joaquín M. 7 Hinrichs, Aicke 7 Jaramillo, Jesús Angel 7 Lechner, Richard 7 Lee, James R. 7 Lopez-Abad, Jordi 7 Müller, Paul F. X. 7 Poirion, Pierre-Louis 7 Valdivia Ureña, Manuel 6 Aviles Lopez, Antonio 6 Carando, Daniel G. ...and 1,698 more Authors all top 5 Cited in 339 Serials 202 Israel Journal of Mathematics 157 Journal of Functional Analysis 143 Journal of Mathematical Analysis and Applications 119 Proceedings of the American Mathematical Society 54 Mathematische Annalen 52 Transactions of the American Mathematical Society 46 Advances in Mathematics 38 Positivity 31 Mathematical Notes 30 Archiv der Mathematik 27 Studia Mathematica 27 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 26 Mathematische Nachrichten 23 Mathematische Zeitschrift 20 Integral Equations and Operator Theory 19 Compositio Mathematica 19 Journal of Approximation Theory 19 Banach Journal of Mathematical Analysis 18 Rocky Mountain Journal of Mathematics 16 Discrete & Computational Geometry 15 Mathematical Proceedings of the Cambridge Philosophical Society 15 Czechoslovak Mathematical Journal 15 Topology and its Applications 15 Mediterranean Journal of Mathematics 14 The Annals of Probability 14 Quaestiones Mathematicae 13 Bulletin of the Australian Mathematical Society 13 Acta Mathematica 12 Annales de l’Institut Fourier 12 Functional Analysis and its Applications 12 Statistics & Probability Letters 11 Siberian Mathematical Journal 11 Machine Learning 11 Acta Mathematica Sinica. English Series 11 Journal of Machine Learning Research (JMLR) 10 Inventiones Mathematicae 10 Results in Mathematics 9 Probability Theory and Related Fields 9 SIAM Journal on Matrix Analysis and Applications 9 Linear Algebra and its Applications 8 Bulletin of the London Mathematical Society 8 Glasgow Mathematical Journal 8 Journal of Soviet Mathematics 8 SIAM Journal on Computing 8 Geometric and Functional Analysis. GAFA 8 Indagationes Mathematicae. New Series 8 Revista Matemática Complutense 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Arkiv för Matematik 7 Mathematika 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 The Journal of Geometric Analysis 7 Applied and Computational Harmonic Analysis 7 Journal of Mathematical Sciences (New York) 7 Bulletin of the American Mathematical Society 7 Electronic Journal of Statistics 7 Advances in Operator Theory 6 Duke Mathematical Journal 6 Algorithmica 6 Journal of Theoretical Probability 6 Journal of the American Mathematical Society 6 Bulletin of the American Mathematical Society. New Series 6 St. Petersburg Mathematical Journal 6 Bulletin des Sciences Mathématiques 6 The Journal of Fourier Analysis and Applications 6 Journal of the European Mathematical Society (JEMS) 6 Forum of Mathematics, Sigma 6 Analysis and Geometry in Metric Spaces 5 Journal of Computational Physics 5 Ukrainian Mathematical Journal 5 Information Sciences 5 Journal of Computer and System Sciences 5 Theoretical Computer Science 5 European Journal of Combinatorics 5 Constructive Approximation 5 Bernoulli 5 Data Mining and Knowledge Discovery 5 Central European Journal of Mathematics 4 American Mathematical Monthly 4 Information Processing Letters 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 The Annals of Statistics 4 Canadian Mathematical Bulletin 4 Colloquium Mathematicum 4 Commentationes Mathematicae Universitatis Carolinae 4 Fundamenta Mathematicae 4 Illinois Journal of Mathematics 4 Journal of the London Mathematical Society. Second Series 4 Monatshefte für Mathematik 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Acta Applicandae Mathematicae 4 Revista Matemática Iberoamericana 4 The Annals of Applied Probability 4 Stochastic Processes and their Applications 4 Expositiones Mathematicae 4 Cybernetics and Systems Analysis 4 SIAM Journal on Scientific Computing 4 Sbornik: Mathematics 4 Annales Academiae Scientiarum Fennicae. Mathematica 4 Doklady Mathematics ...and 239 more Serials all top 5 Cited in 54 Fields 1,475 Functional analysis (46-XX) 502 Operator theory (47-XX) 197 Probability theory and stochastic processes (60-XX) 179 Computer science (68-XX) 114 General topology (54-XX) 103 Statistics (62-XX) 72 Numerical analysis (65-XX) 71 Convex and discrete geometry (52-XX) 62 Combinatorics (05-XX) 57 Approximations and expansions (41-XX) 53 Functions of a complex variable (30-XX) 52 Linear and multilinear algebra; matrix theory (15-XX) 52 Harmonic analysis on Euclidean spaces (42-XX) 51 Real functions (26-XX) 48 Mathematical logic and foundations (03-XX) 43 Information and communication theory, circuits (94-XX) 38 Geometry (51-XX) 37 Measure and integration (28-XX) 37 Operations research, mathematical programming (90-XX) 27 Abstract harmonic analysis (43-XX) 22 Topological groups, Lie groups (22-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 18 Several complex variables and analytic spaces (32-XX) 17 Group theory and generalizations (20-XX) 16 Differential geometry (53-XX) 15 Partial differential equations (35-XX) 14 Biology and other natural sciences (92-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Quantum theory (81-XX) 12 General and overarching topics; collections (00-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 History and biography (01-XX) 10 Integral equations (45-XX) 9 Systems theory; control (93-XX) 8 Number theory (11-XX) 8 Algebraic topology (55-XX) 8 Manifolds and cell complexes (57-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Ordinary differential equations (34-XX) 5 \(K\)-theory (19-XX) 4 Nonassociative rings and algebras (17-XX) 4 Fluid mechanics (76-XX) 3 Difference and functional equations (39-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Commutative algebra (13-XX) 2 Category theory; homological algebra (18-XX) 1 General algebraic systems (08-XX) 1 Algebraic geometry (14-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.