Edit Profile (opens in new tab) Schechtman, Gideon Co-Author Distance Author ID: schechtman.gideon Published as: Schechtman, Gideon; Schechtman, G.; Schechtman, Gideaon; Shekhtman, G. more...less Homepage: http://www.wisdom.weizmann.ac.il/~/gideon/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 127 Publications since 1975, including 3 Books and 5 Additional arXiv Preprints 6 Contributions as Editor Reviewing Activity: 12 Reviews Co-Authors: 57 Co-Authors with 99 Joint Publications 1,721 Co-Co-Authors all top 5 Co-Authors 34 single-authored 43 Johnson, William Buhmann 11 Milman, Vitali D. 11 Naor, Assaf 10 Lindenstrauss, Joram 6 Preiss, David 6 Zinn, Joel 5 Figiel, Tadeusz 4 Maurey, Bernard 4 Pisier, Gilles 3 Feige, Uriel 3 Müller, Paul F. X. 3 Schechtman, Edna 3 Shraibman, Adi 2 Bates, Sean M. 2 Bourgain, Jean 2 Hitczenko, Paweł 2 Kindler, Guy 2 Litvak, Aleksandr Evgen’evich 2 Mendelson, Shahar 2 Schlumprecht, Thomas 2 Schmuckenschläger, Michael 2 Tomczak-Jaegermann, Nicole 1 Angel, Omer 1 Arias, Alvaro 1 Artstein, Zvi 1 Bastero, Jesús 1 Benjamini, Itai 1 Benyamini, Yoav 1 Cwikel, Michael 1 Dosev, Detelin T. 1 Figiel, Tadek 1 Ghoussoub, Nassif A. 1 Giladi, Ohad 1 Gromov, Mikhael Leonidovich 1 Heiman, Eyal 1 Kadets’, Volodymyr Mykhaĭlovych 1 Kania, Tomasz 1 Kleper, Dvir 1 Kwapień, Stanisław 1 Langberg, Michael 1 Levy, Ran 1 Li, Wenbo V. 1 Lindenstrauss, Ayelet 1 Lindenstrauss, Elon 1 Linial, Nathan 1 Moses, Yael 1 Nasseri, Amir Bahman 1 Nilsson, Per G. 1 Ozawa, Narutaka 1 Peleg, David 1 Peña, Ana 1 Phillips, N. Christopher 1 Popov, Mykhaĭlo Mykhaĭlovych 1 Randrianantoanina, Beata 1 Rosenthal, Haskell P. 1 Rudelson, Mark 1 Szankowski, Andrzej 1 Tkocz, Tomasz 1 Tzafriri, Lior 1 Ullman, Shimon 1 Vershynin, Roman 1 Wool, Avishai 1 Zvavitch, Artem all top 5 Serials 13 Israel Journal of Mathematics 8 Proceedings of the American Mathematical Society 5 Lecture Notes in Mathematics 4 The Annals of Probability 3 Transactions of the American Mathematical Society 3 Random Structures & Algorithms 3 Geometric and Functional Analysis. GAFA 2 Studia Mathematica 2 Acta Mathematica 2 Bulletin of the London Mathematical Society 2 Compositio Mathematica 2 Illinois Journal of Mathematics 2 Journal of Functional Analysis 2 Mathematische Annalen 2 Memoirs of the American Mathematical Society 2 Pacific Journal of Mathematics 2 SIAM Journal on Computing 2 Discrete & Computational Geometry 2 Journal of the American Mathematical Society 1 Biological Cybernetics 1 Journal of Mathematical Analysis and Applications 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Journal of Approximation Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Mathematics of Operations Research 1 Metron 1 Michigan Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Journal of Operator Theory 1 Statistics & Probability Letters 1 Combinatorica 1 Algorithmica 1 Journal of Statistical Computation and Simulation 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Notices of the American Mathematical Society 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 St. Petersburg Mathematical Journal 1 Electronic Journal of Probability 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Oberwolfach Reports 1 Banach Journal of Mathematical Analysis 1 Journal of Topology and Analysis 1 Forum of Mathematics, Pi all top 5 Fields 104 Functional analysis (46-XX) 22 Operator theory (47-XX) 20 Probability theory and stochastic processes (60-XX) 16 Convex and discrete geometry (52-XX) 8 Computer science (68-XX) 7 Combinatorics (05-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 General and overarching topics; collections (00-XX) 5 Measure and integration (28-XX) 5 Operations research, mathematical programming (90-XX) 4 General topology (54-XX) 4 Statistics (62-XX) 3 Functions of a complex variable (30-XX) 2 History and biography (01-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 108 Publications have been cited 1,712 times in 1,300 Documents Cited by ▼ Year ▼ Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds. Zbl 0606.46013 Milman, Vitali D.; Schechtman, Gideon 293 1986 Global versus local asymptotic theories of finite-dimensional normed spaces. Zbl 0911.52002 Milman, V. D.; Schechtman, G. 125 1997 Symmetric structures in Banach spaces. Zbl 0421.46023 Johnson, W. B.; Maurey, B.; Schechtman, G.; Tzafriri, L. 116 1979 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 the volume of the intersection of two \(L^ n_ p\) balls. Zbl 0704.60017 Schechtman, G.; Zinn, J. 63 1990 Sums of independent random variables in rearrangement invariant function spaces. Zbl 0674.60051 Johnson, William B.; Schechtman, G. 52 1989 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 Planar earthmover is not in \(L_1\). Zbl 1155.46005 Naor, Assaf; Schechtman, Gideon 37 2007 Averages of norms and quasi-norms. Zbl 0920.46006 Litvak, A. E.; Milman, V. D.; Schechtman, G. 37 1998 Banach spaces determined by their uniform structures. Zbl 0864.46008 Johnson, W. B.; Lindenstrauss, J.; Schechtman, G. 35 1996 Two observations regarding embedding subsets of Euclidean spaces in normed spaces. Zbl 1108.46011 Schechtman, Gideon 34 2006 Diamond graphs and super-reflexivity. Zbl 1183.46022 Johnson, William B.; Schechtman, Gideon 31 2009 Interpolation of weighted Banach lattices. A characterization of relatively decomposable Banach lattices. Zbl 1044.46018 Cwikel, Michael; Nilsson, Per G.; Schechtman, Gideon 28 2003 Complexity measures of sign matrices. Zbl 1164.68006 Linial, Nati; Mendelson, Shahar; Schechtman, Gideon; Shraibman, Adi 26 2007 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 On the Gaussian measure of the intersection. Zbl 0936.60015 Schechtman, G.; Schlumprecht, Th.; Zinn, J. 24 1998 On the optimality of the random hyperplane rounding technique for MAX CUT. Zbl 1005.90052 Feige, Uriel; Schechtman, Gideon 23 2002 Remarks on non linear type and Pisier’s inequality. Zbl 1033.46013 Naor, Assaf; Schechtman, Gideon 22 2002 More on embedding subspaces of \(L_ p\) in \(l^ n_ r\). Zbl 0659.46021 Schechtman, Gideon 21 1987 Finite dimensional subspaces of \(L_p\). Zbl 1012.46012 Johnson, William B.; Schechtman, Gideon 21 2001 Concentration on the \(\ell_p^n\) ball. Zbl 0971.46009 Schechtman, G.; Zinn, J. 20 2000 Embedding \(l_ p^ m\) into \(l_ 1^ n\). Zbl 0522.46015 Johnson, William B.; Schechtman, Gideon 17 1982 An ordinal \(L^p\)-index for Banach spaces, with application to complemented subspaces of \(L^p\). Zbl 0496.46010 Bourgain, J.; Rosenthal, H. P.; Schechtman, G. 16 1981 Commutators on \(L_p\), \(1\leq p <\infty\). Zbl 1278.47038 Dosev, Detelin; Johnson, William B.; Schechtman, Gideon 16 2013 Another remark on the volume of the intersection of two \(\ell^ n_ p\) balls. Zbl 0776.46013 Schechtman, G.; Schmuckenschläger, M. 15 1991 A concentration inequality for harmonic measures on the sphere. Zbl 0840.31012 Schechtman, G.; Schmuckenschläger, M. 14 1995 On the relation between several notions of unconditional structure. Zbl 0488.46012 Johnson, W. B.; Lindenstrauss, J.; Schechtman, G. 12 1980 Special orthogonal splittings of \(L_1^{2k}\). Zbl 1066.46010 Schechtman, Gideon 12 2004 Almost isometric \(L_p\) subspaces of \(L_p(0,1)\). Zbl 0415.46029 Schechtman, Gideon 12 1979 Bourgain’s discretization theorem. Zbl 1283.46015 Giladi, Ohad; Naor, Assaf; Schechtman, Gideon 12 2012 The UGC hardness threshold of the \(L_{p}\) Grothendieck problem. Zbl 1216.68340 Kindler, Guy; Naor, Assaf; Schechtman, Gideon 10 2010 Uniform quotient mappings of the plane. Zbl 1004.54019 Johnson, W. B.; Lindenstrauss, J.; Preiss, D.; Schechtman, G. 10 2000 Embedding subspaces on \(L_p\) into \(\ell_p^N, 0<p<1\). Zbl 1046.46011 Schechtman, Gideon; Zvavitch, Artem 10 2001 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 Concentration, results and applications. Zbl 1057.46011 Schechtman, Gideon 10 2003 Randomized approximation of bounded multicovering problems. Zbl 0873.68077 Peleg, D.; Schechtman, G.; Wool, A. 10 1997 Euclidean sections of convex bodies. Zbl 1284.46013 Schechtman, Gideon 10 2013 The random version of Dvoretzky’s theorem in \(\ell_\infty^n\). Zbl 1183.46011 Schechtman, G. 9 2007 Remarks on Talagrand’s deviation inequality for Rademacher functions. Zbl 0753.60024 Johnson, William B.; Schechtman, Gideon 9 1991 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 An “isomorphic” version of Dvoretzky’s theorem. II. Zbl 0942.46012 Milman, Vitali; Schechtman, Gideon 8 1999 On Pelczynski’s paper ’Universal bases’. Zbl 0316.46014 Schechtman, Gideon 8 1976 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 An “isomorphic” version of Dvoretzky’s theorem. Zbl 0836.46007 Milman, Vitali D.; Schechtman, Gideon 7 1995 Weakly null sequences in \(L_1\). Zbl 1125.46014 Johnson, William B.; Maurey, Bernard; Schechtman, Gideon 7 2007 Random embeddings of Euclidean spaces in sequence spaces. Zbl 0474.46004 Schechtman, Gideon 7 1981 Non-linear factorization of linear operators. Zbl 1183.46021 Johnson, W. B.; Maurey, B.; Schechtman, G. 7 2009 Examples of \(\mathcal L_p\) spaces \((1<p\neq 2<\infty)\). Zbl 0316.46018 Schechtman, G. 7 1975 Lower bounds for local versions of dimension reductions. Zbl 1171.46008 Schechtman, Gideon; Shraibman, Adi 7 2009 Hypercontractivity and comparison of moments of iterated maxima and minima of independent random variables. Zbl 0889.60003 Hitczenko, Paweł; Kwapień, Stanisław; Li, Wenbo V.; Schechtman, Gideon; Schlumprecht, Thomas; Zinn, Joel 7 1998 Narrow and \(\ell_2\)-strictly singular operators from \(L_p\). Zbl 1314.46024 Mykhaylyuk, V.; Popov, M.; Randrianantoanina, B.; Schechtman, G. 7 2014 A Schauder basis for \(L_{1}(0,\infty)\) consisting of non-negative functions. Zbl 1345.46006 Johnson, William B.; Schechtman, Gideon 7 2015 A remark concerning the dependence on \(\epsilon\) in Dvoretzky’s theorem. Zbl 0679.46011 Schechtman, Gideaon 6 1989 A remark on unconditional basic sequences in \(L_p\) (\(1<p<\infty\)). Zbl 0306.46035 Schechtman, G. 6 1975 Graphs with tiny vector chromatic numbers and huge chromatic numbers. Zbl 1105.68088 Feige, Uriel; Langberg, Michael; Schechtman, Gideon 6 2004 Metric \(X_{p}\) inequalities. Zbl 1344.46018 Naor, Assaf; Schechtman, Gideon 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 Upper bounds on the height difference of the Gaussian random field and the range of random graph homomorphisms into \(\mathbb{Z}\). Zbl 0957.05098 Benjamini, Itai; Schechtman, Gideon 5 2000 Tight embedding of subspaces of \(L_{p}\) in \(\ell_{p}^{n}\) for even \(p\). Zbl 1247.46013 Schechtman, Gideon 5 2011 Several results concerning unconditionality in vector valued \(L^ p\) and \(H^ 1({\mathcal F}_ n)\) spaces. Zbl 0723.46029 Müller, Paul F. X.; Schechtman, Gideon 5 1991 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 Random sign embeddings from \(\ell ^ n_ r\), \(2<r<\infty\). Zbl 0655.46016 Figiel, T.; Johnson, W. B.; Schechtman, G. 4 1988 The Lyapunov theorem for \(\ell_ p\)-valued measures. Zbl 0804.46048 Kadets, V. M.; Shekhtman, G. 4 1992 Deterministic algorithms for matrix completion. Zbl 1306.15027 Heiman, Eyal; Schechtman, Gideon; Shraibman, Adi 4 2014 Pythagorean powers of hypercubes. (Puissances pythagoriciennes des hypercubes.) Zbl 1364.46022 Naor, Assaf; Schechtman, Gideon 4 2016 No greedy bases for matrix spaces with mixed \(\ell_p\) and \(\ell_q\) norms. Zbl 1308.46020 Schechtman, Gideon 4 2014 Levy type inequality for a class of finite metric spaces. Zbl 0502.47031 Schechtman, Gideon 3 1982 Levy type inequality for a class of finite metric spaces. Zbl 0512.46010 Schechtman, Gideon 3 1982 On commuting families of nonexpansive operators. Zbl 0516.47030 Schechtman, Gideon 3 1982 Fine embeddings of finite dimensional subspaces of \(L_ p\), \(1\leq p<2\), into \(\ell ^ m_ 1\). Zbl 0597.46019 Schechtman, Gideon 3 1985 Several remarks concerning the local theory of \(L_p\) spaces. Zbl 1085.46006 Johnson, W. B.; Schechtman, G. 3 2004 On the integrality ratio of semidefinite relaxations of MAX CUT. Zbl 1323.68298 Feige, Uriel; Schechtman, Gideon 3 2001 The relationship between Gini terminology and the ROC curve. Zbl 1437.62237 Schechtman, Edna; Schechtman, Gideon 3 2019 Extremal configurations for moments of sums of independent positive random variables. Zbl 1134.60317 Schechtman, Gideon 2 2007 Banach spaces with the 2-summing property. Zbl 0843.46007 Arias, A.; Figiel, T.; Johnson, W. B.; Schechtman, G. 2 1995 A remarkable rearrangement of the Haar system in \(L_{p}\). Zbl 0883.46021 Müller, Paul F. X.; Schechtman, Gideon 2 1997 Impossibility of dimension reduction in the nuclear norm. Zbl 1412.46036 Naor, Assaf; Pisier, Gilles; Schechtman, Gideon 2 2018 An editorial comment on the preceding paper. Zbl 0980.46005 Schechtman, G. 2 2000 Complemented subspaces of \((\ell_2\oplus\ell_2\oplus\dots)_p\) \(1<p<\infty\) with an unconditional basis. Zbl 0312.46025 Schechtman, G. 2 1975 On the distance of subspaces of \(\ell_ p^ n\) to \(\ell_ p^ k\). Zbl 0758.46023 Johnson, William B.; Schechtman, Gideon 2 1991 Subspaces of \(L_p\) that embed into \(L_p(\mu)\) with \(\mu\) finite. Zbl 1315.46029 Johnson, William B.; Schechtman, Gideon 2 2014 Matrix subspaces of \(L_1\). Zbl 1287.46025 Schechtman, Gideon 2 2013 On characterization of two-sample \(U\)-statistics. Zbl 0996.62004 Schechtman, E.; Schechtman, G. 2 2002 The number of closed ideals in \(L(L_p)\). Zbl 07454650 Johnson, William B.; Schechtman, Gideon 2 2021 Estimating the parameters in regression with uniformly distributed errors. Zbl 0635.62065 Schechtman, Edna; Schechtman, Gideon 1 1986 Stabilizing isomorphisms from \(\ell _{p}(\ell _{2})\) into \(L_{p} [0, 1]\). Zbl 1235.46026 Levy, Ran; Schechtman, Gideon 1 2011 Positive definite forms generated by integrals and weak limits. Zbl 0541.46037 Artstein, Zvi; Schechtman, Gideon 1 1983 On complemented subspaces of \(H^ 1\) and VMO. Zbl 0687.46014 Müller, Paul F. X.; Schechtman, Gideon 1 1989 Geometric aspects of functional analysis. Proceedings of the Israel seminar (GAFA) 1996–2000. Zbl 0949.00025 1 2000 The shattering dimension of sets of linear functionals. Zbl 1045.60006 Mendelson, Shahar; Schechtman, Gideon 1 2004 Geometric aspects of functional analysis. Papers from the Israel seminar (GAFA) 2002–2003. Zbl 1052.46001 1 2004 Factorizations of natural embeddings of \(\ell^ n_ p\) into \(L_ r\). II. Zbl 0764.46018 Figiel, T.; Johnson, W. B.; Schechtman, G. 1 1991 Averages of norms and behavior of families of projective caps on the sphere. Zbl 0891.52002 Litvak, A. E.; Milman, V. D.; Schechtman, G. 1 1997 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 Impossibility of dimension reduction in the nuclear norm. Zbl 1442.46017 Naor, Assaf; Pisier, Gilles; Schechtman, Gideon 1 2020 The relationship between Gini terminology and the ROC curve. Zbl 1437.62237 Schechtman, Edna; Schechtman, Gideon 3 2019 Impossibility of dimension reduction in the nuclear norm. Zbl 1412.46036 Naor, Assaf; Pisier, Gilles; Schechtman, Gideon 2 2018 Metric \(X_{p}\) inequalities. Zbl 1344.46018 Naor, Assaf; Schechtman, Gideon 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 Pythagorean powers of hypercubes. (Puissances pythagoriciennes des hypercubes.) Zbl 1364.46022 Naor, Assaf; Schechtman, Gideon 4 2016 Three observations regarding Schatten \(p\) classes. Zbl 1424.47049 Schechtman, Gideon 1 2016 A Schauder basis for \(L_{1}(0,\infty)\) consisting of non-negative functions. Zbl 1345.46006 Johnson, William B.; Schechtman, Gideon 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 Narrow and \(\ell_2\)-strictly singular operators from \(L_p\). Zbl 1314.46024 Mykhaylyuk, V.; Popov, M.; Randrianantoanina, B.; Schechtman, G. 7 2014 Deterministic algorithms for matrix completion. Zbl 1306.15027 Heiman, Eyal; Schechtman, Gideon; Shraibman, Adi 4 2014 No greedy bases for matrix spaces with mixed \(\ell_p\) and \(\ell_q\) norms. Zbl 1308.46020 Schechtman, Gideon 4 2014 Subspaces of \(L_p\) that embed into \(L_p(\mu)\) with \(\mu\) finite. Zbl 1315.46029 Johnson, William B.; Schechtman, Gideon 2 2014 Commutators on \(L_p\), \(1\leq p <\infty\). Zbl 1278.47038 Dosev, Detelin; Johnson, William B.; Schechtman, Gideon 16 2013 Euclidean sections of convex bodies. Zbl 1284.46013 Schechtman, Gideon 10 2013 Matrix subspaces of \(L_1\). Zbl 1287.46025 Schechtman, Gideon 2 2013 A quantitative version of the commutator theorem for zero trace matrices. Zbl 1297.15027 Johnson, William B.; Ozawa, Narutaka; Schechtman, Gideon 1 2013 Bourgain’s discretization theorem. Zbl 1283.46015 Giladi, Ohad; Naor, Assaf; Schechtman, Gideon 12 2012 Approximate Gaussian isoperimetry for \(k\) sets. Zbl 1264.60011 Schechtman, Gideon 1 2012 Tight embedding of subspaces of \(L_{p}\) in \(\ell_{p}^{n}\) for even \(p\). Zbl 1247.46013 Schechtman, Gideon 5 2011 Stabilizing isomorphisms from \(\ell _{p}(\ell _{2})\) into \(L_{p} [0, 1]\). Zbl 1235.46026 Levy, Ran; Schechtman, Gideon 1 2011 The UGC hardness threshold of the \(L_{p}\) Grothendieck problem. Zbl 1216.68340 Kindler, Guy; Naor, Assaf; Schechtman, Gideon 10 2010 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 Lower bounds for local versions of dimension reductions. Zbl 1171.46008 Schechtman, Gideon; Shraibman, Adi 7 2009 Multiplication operators on \(L(L_{p})\) and \(\ell_{p}\)-strictly singular operators. Zbl 1165.46010 Johnson, William B.; Schechtman, Gideon 8 2008 Planar earthmover is not in \(L_1\). Zbl 1155.46005 Naor, Assaf; Schechtman, Gideon 37 2007 Complexity measures of sign matrices. Zbl 1164.68006 Linial, Nati; Mendelson, Shahar; Schechtman, Gideon; Shraibman, Adi 26 2007 The random version of Dvoretzky’s theorem in \(\ell_\infty^n\). Zbl 1183.46011 Schechtman, G. 9 2007 Weakly null sequences in \(L_1\). Zbl 1125.46014 Johnson, William B.; Maurey, Bernard; Schechtman, Gideon 7 2007 Extremal configurations for moments of sums of independent positive random variables. Zbl 1134.60317 Schechtman, Gideon 2 2007 Two observations regarding embedding subsets of Euclidean spaces in normed spaces. Zbl 1108.46011 Schechtman, Gideon 34 2006 Special orthogonal splittings of \(L_1^{2k}\). Zbl 1066.46010 Schechtman, Gideon 12 2004 Graphs with tiny vector chromatic numbers and huge chromatic numbers. Zbl 1105.68088 Feige, Uriel; Langberg, Michael; Schechtman, Gideon 6 2004 Several remarks concerning the local theory of \(L_p\) spaces. Zbl 1085.46006 Johnson, W. B.; Schechtman, G. 3 2004 The shattering dimension of sets of linear functionals. Zbl 1045.60006 Mendelson, Shahar; Schechtman, Gideon 1 2004 Geometric aspects of functional analysis. Papers from the Israel seminar (GAFA) 2002–2003. Zbl 1052.46001 1 2004 Interpolation of weighted Banach lattices. A characterization of relatively decomposable Banach lattices. Zbl 1044.46018 Cwikel, Michael; Nilsson, Per G.; Schechtman, Gideon 28 2003 Concentration, results and applications. Zbl 1057.46011 Schechtman, Gideon 10 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 Geometric aspects of functional analysis. Proceedings of the Israel seminar (GAFA) 2001–2002. Zbl 1009.00019 1 2003 Block bases of the Haar system as complemented subspaces of \(L_p\), \(2<p<\infty\). Zbl 1028.46030 Kleper, Dvir; Schechtman, Gideon 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 On the optimality of the random hyperplane rounding technique for MAX CUT. Zbl 1005.90052 Feige, Uriel; Schechtman, Gideon 23 2002 Remarks on non linear type and Pisier’s inequality. Zbl 1033.46013 Naor, Assaf; Schechtman, Gideon 22 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 On characterization of two-sample \(U\)-statistics. Zbl 0996.62004 Schechtman, E.; Schechtman, G. 2 2002 Finite dimensional subspaces of \(L_p\). Zbl 1012.46012 Johnson, William B.; Schechtman, Gideon 21 2001 Embedding subspaces on \(L_p\) into \(\ell_p^N, 0<p<1\). Zbl 1046.46011 Schechtman, Gideon; Zvavitch, Artem 10 2001 On the integrality ratio of semidefinite relaxations of MAX CUT. Zbl 1323.68298 Feige, Uriel; Schechtman, Gideon 3 2001 Concentration on the \(\ell_p^n\) ball. Zbl 0971.46009 Schechtman, G.; Zinn, J. 20 2000 Uniform quotient mappings of the plane. Zbl 1004.54019 Johnson, W. B.; Lindenstrauss, J.; Preiss, D.; Schechtman, G. 10 2000 Upper bounds on the height difference of the Gaussian random field and the range of random graph homomorphisms into \(\mathbb{Z}\). Zbl 0957.05098 Benjamini, Itai; Schechtman, Gideon 5 2000 An editorial comment on the preceding paper. Zbl 0980.46005 Schechtman, G. 2 2000 Geometric aspects of functional analysis. Proceedings of the Israel seminar (GAFA) 1996–2000. Zbl 0949.00025 1 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 An “isomorphic” version of Dvoretzky’s theorem. II. Zbl 0942.46012 Milman, Vitali; Schechtman, Gideon 8 1999 Averages of norms and quasi-norms. Zbl 0920.46006 Litvak, A. E.; Milman, V. D.; Schechtman, G. 37 1998 On the Gaussian measure of the intersection. Zbl 0936.60015 Schechtman, G.; Schlumprecht, Th.; Zinn, J. 24 1998 Hypercontractivity and comparison of moments of iterated maxima and minima of independent random variables. Zbl 0889.60003 Hitczenko, Paweł; Kwapień, Stanisław; Li, Wenbo V.; Schechtman, Gideon; Schlumprecht, Thomas; Zinn, Joel 7 1998 Global versus local asymptotic theories of finite-dimensional normed spaces. Zbl 0911.52002 Milman, V. D.; Schechtman, G. 125 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 Randomized approximation of bounded multicovering problems. Zbl 0873.68077 Peleg, D.; Schechtman, G.; Wool, A. 10 1997 A remarkable rearrangement of the Haar system in \(L_{p}\). Zbl 0883.46021 Müller, Paul F. X.; Schechtman, Gideon 2 1997 Averages of norms and behavior of families of projective caps on the sphere. Zbl 0891.52002 Litvak, A. E.; Milman, V. D.; Schechtman, G. 1 1997 Banach spaces determined by their uniform structures. Zbl 0864.46008 Johnson, W. B.; Lindenstrauss, J.; Schechtman, G. 35 1996 A concentration inequality for harmonic measures on the sphere. Zbl 0840.31012 Schechtman, G.; Schmuckenschläger, M. 14 1995 An “isomorphic” version of Dvoretzky’s theorem. Zbl 0836.46007 Milman, Vitali D.; Schechtman, Gideon 7 1995 Banach spaces with the 2-summing property. Zbl 0843.46007 Arias, A.; Figiel, T.; Johnson, W. B.; Schechtman, G. 2 1995 The Lyapunov theorem for \(\ell_ p\)-valued measures. Zbl 0804.46048 Kadets, V. M.; Shekhtman, G. 4 1992 Another remark on the volume of the intersection of two \(\ell^ n_ p\) balls. Zbl 0776.46013 Schechtman, G.; Schmuckenschläger, M. 15 1991 Remarks on Talagrand’s deviation inequality for Rademacher functions. Zbl 0753.60024 Johnson, William B.; Schechtman, Gideon 9 1991 Several results concerning unconditionality in vector valued \(L^ p\) and \(H^ 1({\mathcal F}_ n)\) spaces. Zbl 0723.46029 Müller, Paul F. X.; Schechtman, Gideon 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 On the volume of the intersection of two \(L^ n_ p\) balls. Zbl 0704.60017 Schechtman, G.; Zinn, J. 63 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 A remark concerning the dependence on \(\epsilon\) in Dvoretzky’s theorem. Zbl 0679.46011 Schechtman, Gideaon 6 1989 On complemented subspaces of \(H^ 1\) and VMO. Zbl 0687.46014 Müller, Paul F. X.; Schechtman, Gideon 1 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 More on embedding subspaces of \(L_ p\) in \(l^ n_ r\). Zbl 0659.46021 Schechtman, Gideon 21 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 Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds. Zbl 0606.46013 Milman, Vitali D.; Schechtman, Gideon 293 1986 Extensions of Lipschitz maps into Banach spaces. Zbl 0626.46007 Johnson, William B.; Lindenstrauss, Joram; Schechtman, Gideon 40 1986 Estimating the parameters in regression with uniformly distributed errors. Zbl 0635.62065 Schechtman, Edna; Schechtman, Gideon 1 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 Fine embeddings of finite dimensional subspaces of \(L_ p\), \(1\leq p<2\), into \(\ell ^ m_ 1\). Zbl 0597.46019 Schechtman, Gideon 3 1985 Positive definite forms generated by integrals and weak limits. Zbl 0541.46037 Artstein, Zvi; Schechtman, Gideon 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 Levy type inequality for a class of finite metric spaces. Zbl 0502.47031 Schechtman, Gideon 3 1982 Levy type inequality for a class of finite metric spaces. Zbl 0512.46010 Schechtman, Gideon 3 1982 On commuting families of nonexpansive operators. Zbl 0516.47030 Schechtman, Gideon 3 1982 An ordinal \(L^p\)-index for Banach spaces, with application to complemented subspaces of \(L^p\). Zbl 0496.46010 Bourgain, J.; Rosenthal, H. P.; Schechtman, G. 16 1981 Random embeddings of Euclidean spaces in sequence spaces. Zbl 0474.46004 Schechtman, Gideon 7 1981 ...and 8 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,287 Authors 48 Astashkin, Sergeĭ Vladimir 38 Naor, Assaf 33 Schechtman, Gideon 27 Sukochev, Fedor Anatol’evich 24 Paouris, Grigoris 24 Prochno, Joscha 22 Johnson, William Buhmann 21 Milman, Vitali D. 20 Tomczak-Jaegermann, Nicole 17 Mendelson, Shahar 16 Schlumprecht, Thomas 15 Ostrovskii, Mikhail Iosifovich 14 Alonso-Gutiérrez, David 14 Giannopoulos, Apostolos A. 14 Kalton, Nigel John 14 Litvak, Aleksandr Evgen’evich 13 Dilworth, Stephen J. 13 Hernández Rodriguez, Francisco L. 12 Junge, Marius 12 Klartag, Bo’az 12 Lancien, Gilles 12 Thäle, Christoph 11 Eskenazis, Alexandros 11 Jiao, Yong 11 Milman, Emanuel 11 Tikhomirov, Konstantin E. 11 Vershynin, Roman 10 Bourgain, Jean 10 Kabluchko, Zakhar A. 10 Kutzarova, Denka N. 10 Odell, Edward 10 Tradacete Pérez, Pedro 10 Valettas, Petros 10 Zanin, Dmitriy V. 9 Bobkov, Sergey Germanovich 9 Causey, Ryan Michael 9 Götze, Friedrich 9 Guédon, Olivier 9 Müller, Paul F. X. 9 Pajor, Alain 9 Szarek, Stanislaw Jerzy 8 Huang, Jinghao 8 Maleva, Olga 8 Maligranda, Lech 8 Mendel, Manor 8 Randrianantoanina, Beata 7 Cúth, Marek 7 González Ortiz, Manuel 7 Lee, James R. 7 Neiman, Ofer 7 Pestov, Vladimir G. 7 Pliev, Marat Amurkhanovich 7 Randrianarivony, Nirina. Lovasoa 7 Rudelson, Mark 7 Werner, Elisabeth M. 7 Wojtaszczyk, Przemyslaw 7 Zheng, Bentuo 6 Albiac, Fernando 6 Barthe, Franck 6 Baudier, Florent P. 6 Gordon, Yehoram 6 Kania, Tomasz 6 Lechner, Richard 6 Lopez-Abad, Jordi 6 Pisier, Gilles 6 Pivovarov, Peter 6 Semënov, Evgeniĭ Mikhaĭlovich 6 Temlyakov, Vladimir Nikolaevich 6 Tkocz, Tomasz 6 Tsolomitis, Antonis 5 Ansorena, José Luis 5 Artstein-Avidan, Shiri 5 Bastero, Jesús 5 Boche, Holger 5 Chasapis, Giorgos 5 Doucha, Michal 5 El Ouali, Mourad 5 Fresen, Daniel J. 5 Friedland, Omer 5 Gartland, Chris 5 Godefroy, Gilles 5 Hájek, Petr 5 Laustsen, Niels Jakob 5 Leśnik, Karol 5 Lindenstrauss, Joram 5 Linial, Nathan 5 Maggi, Francesco 5 Mastyło, Mieczysław 5 Matoušek, Jiří 5 Oikhberg, Timur 5 Ostrovska, Sofiya 5 Procházka, Antonín 5 Richter, Wolf-Dieter 5 Rodríguez-Salinas, Baltasar 5 Schmuckenschläger, Michael 5 Schütt, Carsten 5 Srivastav, Anand 5 Swanepoel, Konrad J. 5 Villa, Rafael 5 Wu, Lian ...and 1,187 more Authors all top 5 Cited in 260 Serials 117 Israel Journal of Mathematics 96 Journal of Functional Analysis 67 Proceedings of the American Mathematical Society 50 Journal of Mathematical Analysis and Applications 41 Advances in Mathematics 31 Transactions of the American Mathematical Society 29 The Annals of Probability 23 Positivity 20 Statistics & Probability Letters 19 Studia Mathematica 19 Discrete & Computational Geometry 18 Communications in Mathematical Physics 16 Mathematische Annalen 16 Probability Theory and Related Fields 15 Geometric and Functional Analysis. 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Serie Quarta 3 Applied Mathematics and Computation 3 Canadian Mathematical Bulletin 3 Publications Mathématiques 3 Journal of the London Mathematical Society. Second Series 3 Memoirs of the American Mathematical Society 3 Results in Mathematics 3 European Journal of Combinatorics 3 Stochastic Analysis and Applications 3 European Journal of Operational Research 3 Linear Algebra and its Applications 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Potential Analysis 3 Sbornik: Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 3 Journal of the ACM 3 Advances in Geometry 3 Journal of Machine Learning Research (JMLR) 3 Quantum Information Processing 3 Analysis & PDE 3 Journal of Topology and Analysis 3 Random Matrices: Theory and Applications 3 Forum of Mathematics, Sigma ...and 160 more Serials all top 5 Cited in 52 Fields 684 Functional analysis (46-XX) 367 Probability theory and stochastic processes (60-XX) 207 Convex and discrete geometry (52-XX) 160 Operator theory (47-XX) 93 Computer science (68-XX) 89 Combinatorics (05-XX) 68 Statistics (62-XX) 58 Real functions (26-XX) 56 General topology (54-XX) 55 Linear and multilinear algebra; matrix theory (15-XX) 46 Functions of a complex variable (30-XX) 43 Measure and integration (28-XX) 42 Harmonic analysis on Euclidean spaces (42-XX) 42 Differential geometry (53-XX) 41 Information and communication theory, circuits (94-XX) 39 Geometry (51-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 37 Operations research, mathematical programming (90-XX) 35 Approximations and expansions (41-XX) 34 Quantum theory (81-XX) 22 Partial differential equations (35-XX) 20 Numerical analysis (65-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Abstract harmonic analysis (43-XX) 17 Topological groups, Lie groups (22-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Global analysis, analysis on manifolds (58-XX) 13 Number theory (11-XX) 12 Group theory and generalizations (20-XX) 8 Difference and functional equations (39-XX) 8 Algebraic topology (55-XX) 7 General and overarching topics; collections (00-XX) 7 Mathematical logic and foundations (03-XX) 6 History and biography (01-XX) 6 Manifolds and cell complexes (57-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Algebraic geometry (14-XX) 3 Potential theory (31-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Integral equations (45-XX) 3 Systems theory; control (93-XX) 2 Field theory and polynomials (12-XX) 2 Biology and other natural sciences (92-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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