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Johnson, William Buhmann

Author ID: johnson.william-b Recent zbMATH articles by "Johnson, William Buhmann"
Published as: Johnson, W. B.; Johnson, William B.; Johnson, William
Homepage: https://www.math.tamu.edu/~johnson/
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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

Publications by Year

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 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
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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
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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)

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