Edit Profile (opens in new tab) Pisier, Gilles Compute Distance To: Compute Author ID: pisier.gilles Published as: Pisier, Gilles; Pisier, G. Homepage: https://webusers.imj-prg.fr/~gilles.pisier/ External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 191 Publications since 1973, including 15 Books 6 Contributions as Editor · 2 Further Contributions Reviewing Activity: 26 Reviews Co-Authors: 60 Co-Authors with 51 Joint Publications 1,768 Co-Co-Authors all top 5 Co-Authors 147 single-authored 8 Maurey, Bernard 7 Marcus, Michael B. 6 Xu, Quanhua 4 Johnson, William Buhmann 4 Milman, Vitali D. 4 Schechtman, Gideon 3 Beauzamy, Bernard 3 Naor, Assaf 2 Bourgain, Jean 2 Haagerup, Uffe Valentin 2 Junge, Marius 2 Kupin, Stanislas 2 Lindenstrauss, Elon 2 Preiss, David 2 Shlyakhtenko, Dimitri L. 2 Zinn, Joel 1 Benyamini, Yoav 1 Borichev, Aleksandr Aleksandrovich 1 Choi, Man-Duen 1 Dadarlat, Marius 1 Daubechies, Ingrid Chantal 1 Davidson, Kenneth R. 1 Delbaen, Freddy 1 Effros, Rita Brickman 1 Enflo, Per Henrik 1 Figiel, Tadeusz 1 Fonf, Vladimir P. 1 Franz, Uwe 1 Ghoussoub, Nassif A. 1 Guerre-Delabriere, Sylvie 1 Gupta, Ved Prakash 1 Guth, Lawrence David 1 Hartmann, Andreas 1 Heß, Albrecht 1 Hoffmann-Jørgensen, Jørgen 1 Jaming, Philippe 1 Jitomirskaya, Svetlana Yakovlevna 1 Jørgensen, Palle E. T. 1 Kaminker, Jerome 1 Kellay, Karim 1 Kontorovich, Alex V. 1 Krivine, Jean-Louis 1 Lindenstrauss, Ayelet 1 Lindenstrauss, Joram 1 Lust-Piquard, Françoise 1 Mandayam, Prabha 1 Nazarov, Fedor L. 1 Oikhberg, Timur 1 Ozawa, Narutaka 1 Parcet, Javier 1 Parthasarathy, Kalyanapuram Rangachari 1 Paulsen, Vern Ival 1 Popa, Sorin Teodor 1 Powers, Robert T. 1 Ricard, Éric 1 Rosenberg, Jonathan Micah 1 Ruan, Zhongjin 1 Rudnick, Zeév 1 Sarnak, Peter Clive 1 Schlag, Wilhelm 1 Schochet, Claude L. 1 Shultz, Fred 1 Staffilani, Gigliola 1 Sunder, Viakalathur S. 1 Szankowski, Andrzej 1 Takesaki, Masamichi 1 Tao, Terence 1 Timotin, Dan 1 Treil, Sergei 1 Trèves, François 1 Varjú, Péter Pál 1 Vasilescu, Florian-Horia 1 Vasyunin, Vasiliĭ Ivanovich 1 Voiculescu, Dan-Virgil 1 Volberg, Alexander Lvovich 1 Winter, Andreas 1 Yor, Marc 1 Zarrabi, Mohamed all top 5 Serials 12 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 11 Comptes Rendus de l’Académie des Sciences. Série I 4 Israel Journal of Mathematics 4 Notices of the American Mathematical Society 2 Studia Mathematica 2 Acta Mathematica 2 The Annals of Probability 2 Indiana University Mathematics Journal 2 Inventiones Mathematicae 2 Journal of Functional Analysis 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Memoirs of the American Mathematical Society 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Bulletin of the American Mathematical Society. New Series 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Documenta Mathematica 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Cambridge Tracts in Mathematics 2 Lecture Notes in Mathematics 2 Theta Series in Advanced Mathematics 1 Communications in Mathematical Physics 1 Houston Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Arkiv för Matematik 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Boletim da Sociedade Brasileira de Matemática 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Integral Equations and Operator Theory 1 Journal of Approximation Theory 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Mathematika 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Journal of Operator Theory 1 Probability Theory and Related Fields 1 Discrete & Computational Geometry 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 L’Enseignement Mathématique. 2e Série 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 St. Petersburg Mathematical Journal 1 Mathematical Research Letters 1 Bulletin des Sciences Mathématiques 1 The Journal of Fourier Analysis and Applications 1 Taiwanese Journal of Mathematics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Revista Matemática Complutense 1 Annals of Mathematics. Second Series 1 Mathematical Proceedings of the Royal Irish Academy 1 Journal of the European Mathematical Society (JEMS) 1 La Gaceta de la Real Sociedad Matemática Española 1 Journal of the Institute of Mathematics of Jussieu 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Oberwolfach Reports 1 Annals of Mathematics Studies 1 Astérisque 1 Cambridge Studies in Advanced Mathematics 1 Lecture Notes in Physics 1 Lecture Notes Series. Aarhus University 1 London Mathematical Society Lecture Note Series 1 London Mathematical Society Student Texts 1 Regional Conference Series in Mathematics 1 SMF Journée Annuelle 1 Journal of Noncommutative Geometry 1 Operators and Matrices 1 Graduate Journal of Mathematics all top 5 Fields 151 Functional analysis (46-XX) 74 Operator theory (47-XX) 50 Probability theory and stochastic processes (60-XX) 24 Abstract harmonic analysis (43-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 8 General and overarching topics; collections (00-XX) 6 History and biography (01-XX) 6 Measure and integration (28-XX) 6 Functions of a complex variable (30-XX) 5 Approximations and expansions (41-XX) 4 Quantum theory (81-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Topological groups, Lie groups (22-XX) 3 Convex and discrete geometry (52-XX) 2 Combinatorics (05-XX) 2 Computer science (68-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 159 Publications have been cited 4,003 times in 2,589 Documents Cited by ▼ Year ▼ The volume of convex bodies and Banach space geometry. Zbl 0698.46008Pisier, Gilles 346 1989 Introduction to operator space theory. Zbl 1093.46001Pisier, Gilles 284 2003 Non-commutative \(L^p\)-spaces. Zbl 1046.46048Pisier, Gilles; Xu, Quanhua 242 2003 Martingales with values in uniformly convex spaces. Zbl 0344.46030Pisier, Gilles 203 1975 Series de variables aléatoires vectorielles independantes et propriétés geométriques des espaces de Banach. Zbl 0344.47014Maurey, Bernard; Pisier, Gilles 184 1976 Factorization of linear operators and geometry of Banach spaces. Zbl 0588.46010Pisier, Gilles 160 1986 The law of large numbers and the central limit theorem in Banach spaces. Zbl 0368.60022Hoffmann-Jørgensen, Jørgen; Pisier, G. 133 1976 Non-commutative vector valued \(L_p\)-spaces and completely \(p\)-summing maps. Zbl 0937.46056Pisier, Gilles 130 1998 Non-commutative martingale inequalities. Zbl 0898.46056Pisier, Gilles; Xu, Quanhua 107 1997 Non commutative Khintchine and Paley inequalities. Zbl 0755.47029Lust-Piquard, Françoise; Pisier, Gilles 89 1991 The operator Hilbert space \(OH\), complex interpolation and tensor norms. Zbl 0932.46046Pisier, Gilles 84 1996 Random Fourier series with applications to harmonic analysis. Zbl 0474.43004Marcus, Michael B.; Pisier, Gilles 84 1981 Grothendieck’s theorem, past and present. Zbl 1244.46006Pisier, Gilles 73 2012 Martingales in Banach spaces. Zbl 1382.46002Pisier, Gilles 72 2016 Holomorphic semi-groups and the geometry of Banach spaces. Zbl 0487.46008Pisier, Gilles 68 1982 Characterizations of almost surely continuous p-stable random Fourier series and strongly stationary processes. Zbl 0547.60047Marcus, M. B.; Pisier, G. 60 1984 Probabilistic methods in the geometry of Banach spaces. Zbl 0606.60008Pisier, Gilles 56 1986 Some results on Banach spaces without local unconditional structure. Zbl 0381.46010Pisier, Gilles 56 1978 Grothendieck’s theorem for noncommutative \(C^*\)-algebras, with an appendix on Grothendieck’s constants. Zbl 0388.46043Pisier, Gilles 54 1978 Counterexamples to a conjecture of Grothendieck. Zbl 0542.46038Pisier, Gilles 52 1983 Similarity problems and completely bounded maps. Zbl 0843.47010Pisier, Gilles 51 1995 Similarity problems and completely bounded maps. Includes the solution to “The Halmos problem”. 2nd, expanded ed. Zbl 0971.47016Pisier, Gilles 50 2001 A polynomially bounded operator on Hilbert space which is not similar to a contraction. Zbl 0869.47014Pisier, Gilles 48 1997 On the ’three space problem’. Zbl 0314.46015Enflo, Per; Lindenstrauss, Joram; Pisier, Gilles 43 1975 Some applications of the complex interpolation method to Banach lattices. Zbl 0427.46048Pisier, G. 43 1979 Grothendieck’s theorem for operator spaces. Zbl 1033.46044Pisier, Gilles; Shlyakhtenko, Dimitri 41 2002 Factorization of operators through \(L_{p\infty}\) or \(L_{p1}\) and non- commutative generalizations. Zbl 0619.47016Pisier, Gilles 39 1986 Bilinear forms on exact operator spaces and \(B(H) \otimes B(H)\). Zbl 0832.46052Junge, M.; Pisier, G. 38 1995 The strong p-variation of martingales and orthogonal series. Zbl 0632.60004Pisier, Gilles; Xu, Quanhua 37 1988 Interpolation between \(H^ p\) spaces and non-commutative generalizations. I. Zbl 0747.46050Pisier, Gilles 37 1992 A construction of \({\mathcal L}_{\infty}\)-spaces and related Banach spaces. Zbl 0586.46011Bourgain, Jean; Pisier, Gilles 33 1983 Bounded linear operators between \(C^*\)-algebras. Zbl 0803.46064Haagerup, Uffe; Pisier, Gilles 32 1993 Remarques sur un résultat non publie de B. Maurey. Zbl 0491.46017Pisier, G. 30 1981 Riesz transforms: A simpler analytic proof of P. A. Meyer’s inequality. Zbl 0645.60061Pisier, Gilles 28 1988 Weak Hilbert spaces. Zbl 0666.46009Pisier, Gilles 28 1988 Un théorème sur les opérateurs linéaires entre espaces de Banach qui se factorisent par un espace de Hilbert. Zbl 0436.47013Pisier, G. 27 1980 Series aléatoires dans les espaces uniformement convexes ou uniformement lisses. Zbl 0326.46007Figiel, Tadeusz; Pisier, Gilles 24 1974 Sharp estimates in vector Carleson imbedding theorem and for vector paraproducts. Zbl 0983.42006Nazarov, F.; Pisier, G.; Treil, S.; Volberg, A. 23 2002 The volume of convex bodies and Banach space geometry. Zbl 0933.46013Pisier, Gilles 23 1999 Factorization of analytic functions with values in non-commutative \(L_1\)-spaces and applications. Zbl 0821.46074Haagerup, Uffe; Pisier, Gilles 21 1989 Sur les espaces de Banach qui ne contiennent pas uniformement de \(l^1_n\). Zbl 0271.46011Pisier, Gilles 21 1973 Exact operator spaces. Zbl 0844.46031Pisier, Gilles 20 1995 A simple proof of a theorem of Kirchberg and related results on \(C^*\)-norms. Zbl 0858.46045Pisier, Gilles 19 1996 On the limit theorems for random variables with values in the spaces \(L_p\;(2\leq p<\infty)\). Zbl 0364.60031Pisier, Gilles; Zinn, Joel 19 1978 Complex interpolation between Hilbert, Banach and operator spaces. Zbl 1213.46002Pisier, Gilles 19 2010 Completely bounded maps between sets of Banach space operators. Zbl 0747.46015Pisier, Gilles 18 1990 Factorization of operator valued analytic functions. Zbl 0791.47015Pisier, Gilles 18 1992 Banach spaces with a weak cotype 2 property. Zbl 0611.46022Milman, Vitali D.; Pisier, Gilles 18 1986 Le théorème de la limite centrale et la loi du logarithme itéré dans les espaces de Banach. (Suite et fin). Zbl 0403.60012Pisier, G. 17 1976 Multipliers and lacunary sets in non-amenable groups. Zbl 0853.43008Pisier, Gilles 17 1995 Complex interpolation and regular operators between Banach lattices. Zbl 0991.46007Pisier, Gilles 16 1994 De nouvelles caractérisations des ensembles de Sidon. Zbl 0468.43008Pisier, Gilles 16 1981 A new approach to several results of V. Milman. Zbl 0692.46006Pisier, Gilles 15 1989 Some applications of the metric entropy condition to harmonic analysis. Zbl 0517.60043Pisier, Gilles 14 1983 Une nouvelle classe d’espace de Banach vérifiant le théorème de Grothendieck. Zbl 0363.46019Pisier, Gilles 14 1978 Une propriété de stabilité de la classe des espaces ne contenant pas \(\ell^1\). Zbl 0373.46033Pisier, Gilles 14 1978 Tensor products of \(C^*\)-algebras and operator spaces. The Connes-Kirchberg problem. Zbl 1453.46002Pisier, Gilles 14 2020 Type des espaces normes. Zbl 0257.46015Pisier, Gilles 13 1973 The functional analysis of quantum information theory. A collection of notes based on lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter. Zbl 1431.81007Gupta, Ved Prakash; Mandayam, Prabha; Sunder, V. S. 13 2015 Remarks on the similarity degree of an operator algebra. Zbl 1112.46309Pisier, Gilles 13 2001 On the dimension of the \(l_ p^ n\)-subspaces of Banach spaces, for \(1 \leq p < 2\). Zbl 0509.46016Pisier, Gilles 13 1983 Completely bounded maps into certain Hilbertian operator spaces. Zbl 1079.46041Pisier, Gilles 12 2004 Gaussian processes and mixed volumes. Zbl 0636.60036Milman, V. D.; Pisier, G. 12 1987 Projections from a von Neumann algebra onto a subalgebra. Zbl 0820.46058Pisier, Gilles 11 1995 Are unitarizable groups amenable? Zbl 1113.43001Pisier, Gilles 11 2005 Quantum Banach spaces: An introduction to the theory of operators spaces. (Espaces de Banach quantiques: Une introduction à la théorie des espaces d’opérateurs.) Zbl 0947.46039Pisier, Gilles 11 1994 Some results on the continuity of stable processes and the domain of attraction of continuous stable processes. Zbl 0536.60048Marcus, M. B.; Pisier, G. 10 1984 Ensembles de Sidon et processus gaussiens. Zbl 0374.43003Pisier, Gilles 10 1978 Les inégalités de Khintchine-Kahane d’apres C. Borell. Zbl 0388.60013Pisier, G. 10 1978 Joint similarity problems and the generation of operator algebras with bounded length. Zbl 0932.47015Pisier, Gilles 10 1998 Arithmetic characterizations of Sidon sets. Zbl 0505.43002Pisier, Gilles 10 1983 The non-commutative Khintchine inequalities for \(0<p<1\). Zbl 1385.46045Pisier, Gilles; Ricard, Éric 9 2017 Non-commutative Khintchine type inequalities associated with free groups. Zbl 1091.46035Parcet, Javier; Pisier, Gilles 9 2005 Regular operators between non-commutative \(L_ p\)-spaces. Zbl 0826.46056Pisier, Gilles 9 1995 Caractérisation d’une classe d’espaces de Banach par des propriétés de séries aléatoires vectorielles. Zbl 0269.46015Maurey, Bernard; Pisier, Gilles 9 1973 A similarity degree characterization of nuclear \(C^*\)-algebras. Zbl 1114.46044Pisier, Gilles 9 2006 The similarity degree of an operator algebra. Zbl 0911.47038Pisier, G. 9 1998 Remarks on complemented subspaces of von Neumann algebras. Zbl 0774.46032Pisier, G. 8 1992 Quantum expanders and geometry of operator spaces. Zbl 1307.46045Pisier, Gilles 8 2014 The “maximal” tensor product of operator spaces. Zbl 0940.46042Oikhberg, Timur; Pisier, Gilles 8 1999 The operator Hilbert space OH and type III von Neumann algebras. Zbl 1068.46034Pisier, Gilles 7 2004 Necessary and sufficient conditions for the uniform convergence of random trigonometric series. Zbl 0409.60036Marcus, M. B.; Pisier, G. 7 1978 Ideals in \(L(L_1)\). Zbl 1485.47123Johnson, W. B.; Pisier, G.; Schechtman, G. 7 2020 An inequality for \(p\)-orthogonal sums in non-commutative \(L_p\). Zbl 0976.60016Pisier, Gilles 7 2000 Quadratic forms in unitary operators. Zbl 0889.47007Pisier, Gilles 7 1997 The operator Hilbert space and complex interpolation. (Espace de Hilbert d’opérateurs et interpolation complexe.) Zbl 0803.47039Pisier, Gilles 6 1993 Le théorème de la limite centrale et la loi du logarithme itéré dans les espaces de Banach. Zbl 0403.60011Pisier, G. 6 1976 Un théorème d’extrapolation et ses consequences. Zbl 0258.46031Maurey, Bernard; Pisier, Gilles 6 1973 Remarks on the non-commutative Khintchine inequalities for \(0<p<2\). Zbl 1217.46042Pisier, Gilles 6 2009 Interpolation between \(H^ p\) spaces and non-commutative generalizations. II. Zbl 0788.46071Pisier, Gilles 6 1993 A remark on \({\Pi{}}_ 2(l_ p,l_ p)\). Zbl 0735.47026Pisier, Gilles 5 1990 The proportional UAP characterizes weak Hilbert spaces. Zbl 0758.46024Johnson, W. B.; Pisier, G. 5 1991 A simple proof of a theorem of Jean Bourgain. Zbl 0787.47021Pisier, G. 5 1992 Conditions d’entropie et caractérisations arithmétiques des ensembles de Sidon. Zbl 0539.43004Pisier, Gilles 5 1983 Martingales à valeurs dans les espaces uniformement convexes. Zbl 0291.46009Pisier, Gilles 5 1974 Un exemple concernant la super-reflexivité. Zbl 0315.46022Pisier, G. 5 1975 Conditions d’entropie assurant la continuite de certains processus et applications à l’analyse harmonique. Zbl 0441.60040Pisier, G. 5 1980 Quotients of Banach spaces of cotype q. Zbl 0487.46006Pisier, Gilles 5 1982 The \(K_ t\)-functional for the interpolation couple \(L_ 1(A_ 0), L_{\infty}(A_ 1)\). Zbl 0791.46014Pisier, Gilles 4 1993 On uniformly bounded orthonormal Sidon systems. Zbl 1385.43001Pisier, Gilles 4 2017 Tensor products of \(C^*\)-algebras and operator spaces. The Connes-Kirchberg problem. Zbl 1453.46002Pisier, Gilles 14 2020 Ideals in \(L(L_1)\). Zbl 1485.47123Johnson, W. B.; Pisier, G.; Schechtman, G. 7 2020 A non-nuclear \(C^*\)-algebra with the weak expectation property and the local lifting property. Zbl 1465.46053Pisier, Gilles 3 2020 Completely Sidon sets in discrete groups. Zbl 1481.43004Pisier, Gilles 1 2020 Impossibility of dimension reduction in the nuclear norm. Zbl 1412.46036Naor, Assaf; Pisier, Gilles; Schechtman, Gideon 2 2018 Completely Sidon sets in \(C^*\)-algebras. Zbl 1436.43007Pisier, Gilles 1 2018 On a linearization trick. Zbl 1462.46063Pisier, Gilles 1 2018 Spectral gap properties of the unitary groups: around Rider’s results on non-commutative Sidon sets. Zbl 1436.43006Pisier, Gilles 1 2018 The non-commutative Khintchine inequalities for \(0<p<1\). Zbl 1385.46045Pisier, Gilles; Ricard, Éric 9 2017 On uniformly bounded orthonormal Sidon systems. Zbl 1385.43001Pisier, Gilles 4 2017 Martingales in Banach spaces. Zbl 1382.46002Pisier, Gilles 72 2016 A continuum of \(C^\ast\)-norms on \(\mathbb{B}(H)\otimes\mathbb{B}(H)\) and related tensor products. Zbl 1408.46051Ozawa, Narutaka; Pisier, Gilles 4 2016 The functional analysis of quantum information theory. A collection of notes based on lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter. Zbl 1431.81007Gupta, Ved Prakash; Mandayam, Prabha; Sunder, V. S. 13 2015 On the metric entropy of the Banach-Mazur compactum. Zbl 1320.46013Pisier, Gilles 3 2015 Quantum expanders and geometry of operator spaces. Zbl 1307.46045Pisier, Gilles 8 2014 Random matrices and subexponential operator spaces. Zbl 1327.46054Pisier, Gilles 2 2014 Martingale inequalities and operator space structures on \(L_p\). Zbl 1330.46054Pisier, Gilles 1 2014 Grothendieck’s theorem, past and present. Zbl 1244.46006Pisier, Gilles 73 2012 Completely co-bounded Schur multipliers. Zbl 1268.46037Pisier, Gilles 1 2012 Real interpolation between row and column spaces. Zbl 1245.46047Pisier, Gilles 4 2011 Complex interpolation between Hilbert, Banach and operator spaces. Zbl 1213.46002Pisier, Gilles 19 2010 Remarks on the non-commutative Khintchine inequalities for \(0<p<2\). Zbl 1217.46042Pisier, Gilles 6 2009 Simultaneous similarity, bounded generation and amenability. Zbl 1160.46037Pisier, Gilles 4 2007 A similarity degree characterization of nuclear \(C^*\)-algebras. Zbl 1114.46044Pisier, Gilles 9 2006 Remarks on \(B(H)\otimes B(H)\). Zbl 1116.46048Pisier, Gilles 4 2006 Are unitarizable groups amenable? Zbl 1113.43001Pisier, Gilles 11 2005 Non-commutative Khintchine type inequalities associated with free groups. Zbl 1091.46035Parcet, Javier; Pisier, Gilles 9 2005 Completely bounded maps into certain Hilbertian operator spaces. Zbl 1079.46041Pisier, Gilles 12 2004 The operator Hilbert space OH and type III von Neumann algebras. Zbl 1068.46034Pisier, Gilles 7 2004 On Read’s proof that \(B(\ell_1)\) is not amenable. Zbl 1072.46032Pisier, G. 2 2004 Introduction to operator space theory. Zbl 1093.46001Pisier, Gilles 284 2003 Non-commutative \(L^p\)-spaces. Zbl 1046.46048Pisier, Gilles; Xu, Quanhua 242 2003 Stochastic approximation properties in Banach spaces. Zbl 1059.46017Fonf, V. P.; Johnson, W. B.; Pisier, G.; Preiss, D. 4 2003 Operator spaces. Zbl 1041.46042Pisier, Gilles 1 2003 Laurent Schwartz (1915–2002). Zbl 1159.01350Treves, François; Pisier, Gilles; Yor, Marc 1 2003 Grothendieck’s theorem for operator spaces. Zbl 1033.46044Pisier, Gilles; Shlyakhtenko, Dimitri 41 2002 Sharp estimates in vector Carleson imbedding theorem and for vector paraproducts. Zbl 0983.42006Nazarov, F.; Pisier, G.; Treil, S.; Volberg, A. 23 2002 Similarity problems and completely bounded maps. Includes the solution to “The Halmos problem”. 2nd, expanded ed. Zbl 0971.47016Pisier, Gilles 50 2001 Remarks on the similarity degree of an operator algebra. Zbl 1112.46309Pisier, Gilles 13 2001 Similarity problems and length. Zbl 0999.46025Pisier, Gilles 4 2001 An inequality for \(p\)-orthogonal sums in non-commutative \(L_p\). Zbl 0976.60016Pisier, Gilles 7 2000 The similarity degree of an operator algebra. II. Zbl 0949.47055Pisier, Gilles 4 2000 On a question of Niels Grønbaek. Zbl 0977.46006Pisier, Gilles 1 2000 The volume of convex bodies and Banach space geometry. Zbl 0933.46013Pisier, Gilles 23 1999 The “maximal” tensor product of operator spaces. Zbl 0940.46042Oikhberg, Timur; Pisier, Gilles 8 1999 Non-commutative vector valued \(L_p\)-spaces and completely \(p\)-summing maps. Zbl 0937.46056Pisier, Gilles 130 1998 Joint similarity problems and the generation of operator algebras with bounded length. Zbl 0932.47015Pisier, Gilles 10 1998 The similarity degree of an operator algebra. Zbl 0911.47038Pisier, G. 9 1998 Non-commutative martingale inequalities. Zbl 0898.46056Pisier, Gilles; Xu, Quanhua 107 1997 A polynomially bounded operator on Hilbert space which is not similar to a contraction. Zbl 0869.47014Pisier, Gilles 48 1997 Quadratic forms in unitary operators. Zbl 0889.47007Pisier, Gilles 7 1997 The degree of similarity of an operator algebra. (Le degré de similarité d’une algèbre d’opérateurs.) Zbl 0884.46036Pisier, Gilles 4 1997 The operator Hilbert space \(OH\), complex interpolation and tensor norms. Zbl 0932.46046Pisier, Gilles 84 1996 A simple proof of a theorem of Kirchberg and related results on \(C^*\)-norms. Zbl 0858.46045Pisier, Gilles 19 1996 Non-commutative martingale inequalities. (Inégalités de martingales non commutatives.) Zbl 0865.60036Pisier, Gilles; Xu, Quanhua 4 1996 A polynomially bounded operator on a Hilbert space which is not similar to a contraction. (Un opérateur polynomialement borné sur un Hilbert qui n’est pas semblable à une contraction.) Zbl 0853.47014Pisier, Gilles 3 1996 Dvoretzky’s theorem for operator spaces. Zbl 0860.47029Pisier, Gilles 1 1996 Similarity problems and completely bounded maps. Zbl 0843.47010Pisier, Gilles 51 1995 Bilinear forms on exact operator spaces and \(B(H) \otimes B(H)\). Zbl 0832.46052Junge, M.; Pisier, G. 38 1995 Exact operator spaces. Zbl 0844.46031Pisier, Gilles 20 1995 Multipliers and lacunary sets in non-amenable groups. Zbl 0853.43008Pisier, Gilles 17 1995 Projections from a von Neumann algebra onto a subalgebra. Zbl 0820.46058Pisier, Gilles 11 1995 Regular operators between non-commutative \(L_ p\)-spaces. Zbl 0826.46056Pisier, Gilles 9 1995 The \(K_t\)-functional for the interpolation couple \(L^\infty (d\mu ; L^1(d\nu))\), \(L^\infty(d\nu ; L^1(d\mu))\). Zbl 0902.46049Heß, Albrecht; Pisier, Gilles 2 1995 Complex interpolation and regular operators between Banach lattices. Zbl 0991.46007Pisier, Gilles 16 1994 Quantum Banach spaces: An introduction to the theory of operators spaces. (Espaces de Banach quantiques: Une introduction à la théorie des espaces d’opérateurs.) Zbl 0947.46039Pisier, Gilles 11 1994 Bounded linear operators between \(C^*\)-algebras. Zbl 0803.46064Haagerup, Uffe; Pisier, Gilles 32 1993 The operator Hilbert space and complex interpolation. (Espace de Hilbert d’opérateurs et interpolation complexe.) Zbl 0803.47039Pisier, Gilles 6 1993 Interpolation between \(H^ p\) spaces and non-commutative generalizations. II. Zbl 0788.46071Pisier, Gilles 6 1993 The \(K_ t\)-functional for the interpolation couple \(L_ 1(A_ 0), L_{\infty}(A_ 1)\). Zbl 0791.46014Pisier, Gilles 4 1993 Noncommutative vector valued \(L_ p\)- spaces and completely \(p\)-summing maps. (Espaces \(L_ p\) non commutatifs à valeurs vectorielles et applications complètement \(p\)-sommantes.) Zbl 0787.46053Pisier, Gilles 4 1993 Operators factorizable through OH. (Sur les opérateurs factorisables par OH.) Zbl 0803.47040Pisier, Gilles 2 1993 Interpolation between \(H^ p\) spaces and non-commutative generalizations. I. Zbl 0747.46050Pisier, Gilles 37 1992 Factorization of operator valued analytic functions. Zbl 0791.47015Pisier, Gilles 18 1992 Remarks on complemented subspaces of von Neumann algebras. Zbl 0774.46032Pisier, G. 8 1992 A simple proof of a theorem of Jean Bourgain. Zbl 0787.47021Pisier, G. 5 1992 Multipliers and lacunary sets in non amenable groups. (Multiplicateurs et ensembles lacunaires dans les groupes non moyennables.) Zbl 0779.43002Pisier, Gilles 2 1992 Non commutative Khintchine and Paley inequalities. Zbl 0755.47029Lust-Piquard, Françoise; Pisier, Gilles 89 1991 The proportional UAP characterizes weak Hilbert spaces. Zbl 0758.46024Johnson, W. B.; Pisier, G. 5 1991 Completely bounded maps between sets of Banach space operators. Zbl 0747.46015Pisier, Gilles 18 1990 A remark on \({\Pi{}}_ 2(l_ p,l_ p)\). Zbl 0735.47026Pisier, Gilles 5 1990 The volume of convex bodies and Banach space geometry. Zbl 0698.46008Pisier, Gilles 346 1989 Factorization of analytic functions with values in non-commutative \(L_1\)-spaces and applications. Zbl 0821.46074Haagerup, Uffe; Pisier, Gilles 21 1989 A new approach to several results of V. Milman. Zbl 0692.46006Pisier, Gilles 15 1989 The strong p-variation of martingales and orthogonal series. Zbl 0632.60004Pisier, Gilles; Xu, Quanhua 37 1988 Riesz transforms: A simpler analytic proof of P. A. Meyer’s inequality. Zbl 0645.60061Pisier, Gilles 28 1988 Weak Hilbert spaces. Zbl 0666.46009Pisier, Gilles 28 1988 The dual \(J^ *\) of the James space has cotype 2 and the Gordon-Lewis property. Zbl 0649.46022Pisier, Gilles 4 1988 Gaussian processes and mixed volumes. Zbl 0636.60036Milman, V. D.; Pisier, G. 12 1987 Random series in the real interpolation spaces between the spaces \(v_ p\). Zbl 0634.46009Pisier, Gilles; Xu, Quanhua 4 1987 Factorization of linear operators and geometry of Banach spaces. Zbl 0588.46010Pisier, Gilles 160 1986 Probabilistic methods in the geometry of Banach spaces. Zbl 0606.60008Pisier, Gilles 56 1986 Factorization of operators through \(L_{p\infty}\) or \(L_{p1}\) and non- commutative generalizations. Zbl 0619.47016Pisier, Gilles 39 1986 Banach spaces with a weak cotype 2 property. Zbl 0611.46022Milman, Vitali D.; Pisier, Gilles 18 1986 Factorisation des opérateurs (q,p)-sommants sur les \(C^*\)-algèbres. (Factorization of (q,p)-summing operators on \(C^*\)-algebras). Zbl 0584.47017Pisier, Gilles 3 1985 Sur les opérateurs p-sommants et p-radonifiants pour \(p<1\). (p-summing and p-Radonifying operators for \(p<1)\). Zbl 0586.47017Pisier, Gilles 2 1985 Stochastic processes with sample paths in exponential Orlicz spaces. Zbl 0576.60031Marcus, Michael B.; Pisier, Gilles 1 1985 Characterizations of almost surely continuous p-stable random Fourier series and strongly stationary processes. Zbl 0547.60047Marcus, M. B.; Pisier, G. 60 1984 Some results on the continuity of stable processes and the domain of attraction of continuous stable processes. Zbl 0536.60048Marcus, M. B.; Pisier, G. 10 1984 Remarques sur les classes de Vapnik-Červonenkis. Zbl 0555.60005Pisier, Gilles 4 1984 ...and 59 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,083 Authors 56 Junge, Marius 49 Pisier, Gilles 38 Sukochev, Fedor Anatol’evich 37 Naor, Assaf 33 Xu, Quanhua 30 Milman, Vitali D. 28 Le Merdy, Christian 27 Tomczak-Jaegermann, Nicole 26 Mendelson, Shahar 24 Castillo, Jesús M. F. 23 Bourgain, Jean 23 Parcet, Javier 21 Ricard, Éric 20 Defant, Andreas 20 Palazuelos, Carlos 20 Rosalsky, Andrew 19 Jiao, Yong 18 Hong, Guixiang 18 Popescu, Gelu 18 Schechtman, Gideon 17 Mastyło, Mieczysław 17 Pajor, Alain 16 Pellegrino, Daniel Marinho 16 Ruan, Zhongjin 15 Cabello Sánchez, Félix 15 Johnson, William Buhmann 15 Kalton, Nigel John 15 Paouris, Grigoris 15 Randrianantoanina, Narcisse 15 Szarek, Stanislaw Jerzy 15 Veraar, Mark C. 15 Volodin, Andrei I. 14 Giné-Masdéu, Evarist 14 Klartag, Bo’az 14 Osękowski, Adam 14 Ostrovskii, Mikhail Iosifovich 14 Sánchez-Pérez, Enrique Alfonso 14 Todorov, Ivan G. 14 Weis, Lutz W. 13 Bekjan, Turdebek N. 13 Blecher, David P. 13 Giannopoulos, Apostolos A. 13 Oikhberg, Timur 13 Ozawa, Narutaka 12 Brzeźniak, Zdzisław 12 Carl, Bernd 12 Linde, Werner 12 Pérez-García, David 12 Zanin, Dmitriy V. 11 de la Salle, Mikael 11 Godefroy, Gilles 11 Haagerup, Uffe Valentin 11 Litvak, Aleksandr Evgen’evich 11 Müller, Paul F. X. 11 Paulsen, Vern Ival 11 Popa, Dumitru 11 Talagrand, Michel 11 Tropp, Joel A. 11 van Neerven, Jan M. A. M. 11 Wu, Lian 11 Zinn, Joel 10 Bastero, Jesús 10 Guédon, Olivier 10 Han, Yazhou 10 Hytönen, Tuomas P. 10 Kislyakov, Sergeĭ Vital’evich 10 Marcus, Michael B. 10 Mei, Tao 10 Peller, Vladimir Vsevolodovich 10 Pop, Florin 10 Shao, Jingjing 9 Botelho, Geraldo 9 Carando, Daniel G. 9 Caspers, Martijn 9 Causey, Ryan Michael 9 Dilworth, Stephen J. 9 Eleftherakis, George K. 9 Fernández-Unzueta, Maite 9 Figiel, Tadeusz 9 García, Ricardo 9 John, Kamil 9 Lê Vǎn Thành 9 Lee, Hun Hee 9 Lupini, Martino 9 Neufang, Matthias 9 Smith, Roger R. 9 Zizler, Vaclav E. 8 Aleksandrov, Aleksei B. 8 Blasco, Oscar 8 Ferenczi, Valentin 8 Gan, Shixin 8 Heinrich, Stefan 8 Jarchow, Hans 8 Kühn, Thomas 8 Kumar, Ajay 8 Ledoux, Michel 8 Magajna, Bojan 8 Moslehian, Mohammad Sal 8 Potapov, Denis 8 Roydor, Jean ...and 1,983 more Authors all top 5 Cited in 326 Serials 293 Journal of Functional Analysis 128 Israel Journal of Mathematics 125 Journal of Mathematical Analysis and Applications 118 Proceedings of the American Mathematical Society 96 Transactions of the American Mathematical Society 67 Advances in Mathematics 56 Mathematische Annalen 47 Integral Equations and Operator Theory 42 Probability Theory and Related Fields 39 Communications in Mathematical Physics 37 Positivity 30 Journal of Approximation Theory 26 Studia Mathematica 26 Stochastic Processes and their Applications 25 The Annals of Probability 25 Statistics & Probability Letters 24 Journal of Theoretical Probability 23 Lithuanian Mathematical Journal 23 Mathematische Zeitschrift 22 Journal of Multivariate Analysis 22 Linear Algebra and its Applications 22 The Journal of Fourier Analysis and Applications 21 Geometric and Functional Analysis. GAFA 21 Journal of Mathematical Sciences (New York) 21 Comptes Rendus. Mathématique. Académie des Sciences, Paris 20 Rocky Mountain Journal of Mathematics 19 Mathematical Proceedings of the Cambridge Philosophical Society 19 Annales de l’Institut Fourier 19 The Annals of Statistics 19 Duke Mathematical Journal 19 Inventiones Mathematicae 18 Archiv der Mathematik 18 Acta Mathematica Sinica. English Series 18 Banach Journal of Mathematical Analysis 17 Journal of Mathematical Physics 17 Illinois Journal of Mathematics 17 Mathematische Nachrichten 16 Stochastic Analysis and Applications 15 Mathematical Notes 14 Bulletin of the Australian Mathematical Society 14 Acta Mathematica 14 Journal of Complexity 13 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 13 Discrete & Computational Geometry 13 Bernoulli 13 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 12 Journal d’Analyse Mathématique 12 The Journal of Geometric Analysis 12 St. Petersburg Mathematical Journal 12 Journal of Inequalities and Applications 11 Monatshefte für Mathematik 11 Complex Analysis and Operator Theory 10 Linear and Multilinear Algebra 10 Arkiv för Matematik 10 Czechoslovak Mathematical Journal 10 Memoirs of the American Mathematical Society 10 Revista Matemática Iberoamericana 10 Journal of the Australian Mathematical Society 10 Science China. Mathematics 9 Journal of Soviet Mathematics 9 Proceedings of the Edinburgh Mathematical Society. Series II 9 Bulletin des Sciences Mathématiques 9 Revista Matemática Complutense 9 Annals of Mathematics. Second Series 8 Functional Analysis and its Applications 8 Glasgow Mathematical Journal 8 Results in Mathematics 8 Bulletin of the American Mathematical Society. New Series 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 Journal of the Institute of Mathematics of Jussieu 7 Ukrainian Mathematical Journal 7 Compositio Mathematica 7 Journal für die Reine und Angewandte Mathematik 7 Mathematika 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Acta Mathematica Hungarica 7 International Journal of Mathematics 7 Potential Analysis 7 Journal of Convex Analysis 7 Wuhan University Journal of Natural Sciences (WUJNS) 7 Mediterranean Journal of Mathematics 7 Stochastics 7 Electronic Journal of Statistics 6 Canadian Journal of Mathematics 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Quaestiones Mathematicae 6 Advances in Applied Mathematics 6 Constructive Approximation 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Expositiones Mathematicae 6 Mathematical Programming. Series A. Series B 6 Applied and Computational Harmonic Analysis 6 Lobachevskii Journal of Mathematics 6 Annales Henri Poincaré 6 Journal of Machine Learning Research (JMLR) 6 Forum of Mathematics, Sigma 6 Discrete Analysis 6 Advances in Operator Theory 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Canadian Mathematical Bulletin ...and 226 more Serials all top 5 Cited in 56 Fields 1,606 Functional analysis (46-XX) 803 Operator theory (47-XX) 610 Probability theory and stochastic processes (60-XX) 251 Harmonic analysis on Euclidean spaces (42-XX) 188 Convex and discrete geometry (52-XX) 132 Abstract harmonic analysis (43-XX) 94 Quantum theory (81-XX) 87 Statistics (62-XX) 78 Topological groups, Lie groups (22-XX) 78 Approximations and expansions (41-XX) 65 Functions of a complex variable (30-XX) 60 Linear and multilinear algebra; matrix theory (15-XX) 59 Measure and integration (28-XX) 58 Computer science (68-XX) 51 Group theory and generalizations (20-XX) 50 Real functions (26-XX) 48 Combinatorics (05-XX) 44 Numerical analysis (65-XX) 43 Partial differential equations (35-XX) 40 Information and communication theory, circuits (94-XX) 37 Operations research, mathematical programming (90-XX) 30 Mathematical logic and foundations (03-XX) 27 Dynamical systems and ergodic theory (37-XX) 24 Global analysis, analysis on manifolds (58-XX) 23 General topology (54-XX) 22 Several complex variables and analytic spaces (32-XX) 22 Geometry (51-XX) 21 Differential geometry (53-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Difference and functional equations (39-XX) 13 Number theory (11-XX) 13 Associative rings and algebras (16-XX) 13 Nonassociative rings and algebras (17-XX) 13 Integral transforms, operational calculus (44-XX) 11 History and biography (01-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Ordinary differential equations (34-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Algebraic geometry (14-XX) 8 Integral equations (45-XX) 6 Category theory; homological algebra (18-XX) 5 \(K\)-theory (19-XX) 5 Sequences, series, summability (40-XX) 5 Algebraic topology (55-XX) 5 Fluid mechanics (76-XX) 4 Potential theory (31-XX) 4 Special functions (33-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Commutative algebra (13-XX) 2 Manifolds and cell complexes (57-XX) 2 Geophysics (86-XX) 1 Field theory and polynomials (12-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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