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: 187 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 1,726 Co-Co-Authors all top 5 Co-Authors 143 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 H. 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 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 Tohoku 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 Operators and Matrices all top 5 Fields 148 Functional analysis (46-XX) 72 Operator theory (47-XX) 49 Probability theory and stochastic processes (60-XX) 23 Abstract harmonic analysis (43-XX) 17 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 154 Publications have been cited 3,756 times in 2,450 Documents Cited by ▼ Year ▼ The volume of convex bodies and Banach space geometry. Zbl 0698.46008Pisier, Gilles 332 1989 Introduction to operator space theory. Zbl 1093.46001Pisier, Gilles 260 2003 Non-commutative \(L^p\)-spaces. Zbl 1046.46048Pisier, Gilles; Xu, Quanhua 220 2003 Martingales with values in uniformly convex spaces. Zbl 0344.46030Pisier, Gilles 193 1975 Series de variables aléatoires vectorielles independantes et propriétés geométriques des espaces de Banach. Zbl 0344.47014Maurey, Bernard; Pisier, Gilles 180 1976 Factorization of linear operators and geometry of Banach spaces. Zbl 0588.46010Pisier, Gilles 158 1986 The law of large numbers and the central limit theorem in Banach spaces. Zbl 0368.60022Hoffmann-Jørgensen, Jørgen; Pisier, G. 132 1976 Non-commutative vector valued \(L_p\)-spaces and completely \(p\)-summing maps. Zbl 0937.46056Pisier, Gilles 123 1998 Non-commutative martingale inequalities. Zbl 0898.46056Pisier, Gilles; Xu, Quanhua 95 1997 Non commutative Khintchine and Paley inequalities. Zbl 0755.47029Lust-Piquard, Françoise; Pisier, Gilles 82 1991 Random Fourier series with applications to harmonic analysis. Zbl 0474.43004Marcus, Michael B.; Pisier, Gilles 80 1981 The operator Hilbert space \(OH\), complex interpolation and tensor norms. Zbl 0932.46046Pisier, Gilles 78 1996 Grothendieck’s theorem, past and present. Zbl 1244.46006Pisier, Gilles 68 2012 Holomorphic semi-groups and the geometry of Banach spaces. Zbl 0487.46008Pisier, Gilles 66 1982 Martingales in Banach spaces. Zbl 1382.46002Pisier, Gilles 62 2016 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 Banach spaces without local unconditional structure. Zbl 0381.46010Pisier, Gilles 54 1978 Grothendieck’s theorem for noncommutative \(C^*\)-algebras, with an appendix on Grothendieck’s constants. Zbl 0388.46043Pisier, Gilles 53 1978 Counterexamples to a conjecture of Grothendieck. Zbl 0542.46038Pisier, Gilles 51 1983 Similarity problems and completely bounded maps. Zbl 0843.47010Pisier, Gilles 50 1995 A polynomially bounded operator on Hilbert space which is not similar to a contraction. Zbl 0869.47014Pisier, Gilles 45 1997 Similarity problems and completely bounded maps. Includes the solution to “The Halmos problem”. 2nd, expanded ed. Zbl 0971.47016Pisier, Gilles 44 2001 Some applications of the complex interpolation method to Banach lattices. Zbl 0427.46048Pisier, G. 41 1979 Probabilistic methods in the geometry of Banach spaces. Zbl 0606.60008Pisier, Gilles 39 1986 On the ’three space problem’. Zbl 0314.46015Enflo, Per; Lindenstrauss, Joram; Pisier, Gilles 39 1975 Grothendieck’s theorem for operator spaces. Zbl 1033.46044Pisier, Gilles; Shlyakhtenko, Dimitri 39 2002 Factorization of operators through \(L_{p\infty}\) or \(L_{p1}\) and non- commutative generalizations. Zbl 0619.47016Pisier, Gilles 38 1986 Bilinear forms on exact operator spaces and \(B(H) \otimes B(H)\). Zbl 0832.46052Junge, M.; Pisier, G. 37 1995 The strong p-variation of martingales and orthogonal series. Zbl 0632.60004Pisier, Gilles; Xu, Quanhua 33 1988 Interpolation between \(H^ p\) spaces and non-commutative generalizations. I. Zbl 0747.46050Pisier, Gilles 31 1992 A construction of \({\mathcal L}_{\infty}\)-spaces and related Banach spaces. Zbl 0586.46011Bourgain, Jean; Pisier, Gilles 31 1983 Bounded linear operators between \(C^*\)-algebras. Zbl 0803.46064Haagerup, Uffe; Pisier, Gilles 28 1993 Riesz transforms: A simpler analytic proof of P. A. Meyer’s inequality. Zbl 0645.60061Pisier, Gilles 27 1988 Weak Hilbert spaces. Zbl 0666.46009Pisier, Gilles 27 1988 Remarques sur un résultat non publie de B. Maurey. Zbl 0491.46017Pisier, G. 27 1981 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 23 1974 The volume of convex bodies and Banach space geometry. Zbl 0933.46013Pisier, Gilles 23 1999 Sharp estimates in vector Carleson imbedding theorem and for vector paraproducts. Zbl 0983.42006Nazarov, F.; Pisier, G.; Treil, S.; Volberg, A. 22 2002 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 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 Exact operator spaces. Zbl 0844.46031Pisier, Gilles 18 1995 Banach spaces with a weak cotype 2 property. Zbl 0611.46022Milman, Vitali D.; Pisier, Gilles 18 1986 Completely bounded maps between sets of Banach space operators. Zbl 0747.46015Pisier, Gilles 18 1990 Complex interpolation between Hilbert, Banach and operator spaces. Zbl 1213.46002Pisier, Gilles 17 2010 Factorization of operator valued analytic functions. Zbl 0791.47015Pisier, Gilles 16 1992 Multipliers and lacunary sets in non-amenable groups. Zbl 0853.43008Pisier, Gilles 15 1995 A simple proof of a theorem of Kirchberg and related results on \(C^*\)-norms. Zbl 0858.46045Pisier, Gilles 15 1996 A new approach to several results of V. Milman. Zbl 0692.46006Pisier, Gilles 15 1989 Le théorème de la limite centrale et la loi du logarithme itéré dans les espaces de Banach. (Suite et fin). Zbl 0403.60012Pisier, G. 15 1976 De nouvelles caractérisations des ensembles de Sidon. Zbl 0468.43008Pisier, Gilles 14 1981 Une nouvelle classe d’espace de Banach vérifiant le théorème de Grothendieck. Zbl 0363.46019Pisier, Gilles 14 1978 Complex interpolation and regular operators between Banach lattices. Zbl 0991.46007Pisier, Gilles 14 1994 Some applications of the metric entropy condition to harmonic analysis. Zbl 0517.60043Pisier, Gilles 13 1983 Une propriété de stabilité de la classe des espaces ne contenant pas \(\ell^1\). Zbl 0373.46033Pisier, Gilles 13 1978 Remarks on the similarity degree of an operator algebra. Zbl 1112.46309Pisier, Gilles 13 2001 Type des espaces normes. Zbl 0257.46015Pisier, Gilles 13 1973 Gaussian processes and mixed volumes. Zbl 0636.60036Milman, V. D.; Pisier, G. 12 1987 Completely bounded maps into certain Hilbertian operator spaces. Zbl 1079.46041Pisier, Gilles 12 2004 On the dimension of the \(l_ p^ n\)-subspaces of Banach spaces, for \(1 \leq p < 2\). Zbl 0509.46016Pisier, Gilles 12 1983 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 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. 10 2015 Projections from a von Neumann algebra onto a subalgebra. Zbl 0820.46058Pisier, Gilles 10 1995 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 Joint similarity problems and the generation of operator algebras with bounded length. Zbl 0932.47015Pisier, Gilles 10 1998 Are unitarizable groups amenable? Zbl 1113.43001Pisier, Gilles 10 2005 Arithmetic characterizations of Sidon sets. Zbl 0505.43002Pisier, Gilles 9 1983 Les inégalités de Khintchine-Kahane d’apres C. Borell. Zbl 0388.60013Pisier, G. 9 1978 Ensembles de Sidon et processus gaussiens. Zbl 0374.43003Pisier, Gilles 9 1978 The similarity degree of an operator algebra. Zbl 0911.47038Pisier, G. 9 1998 Non-commutative Khintchine type inequalities associated with free groups. Zbl 1091.46035Parcet, Javier; Pisier, Gilles 9 2005 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 Regular operators between non-commutative \(L_ p\)-spaces. Zbl 0826.46056Pisier, Gilles 8 1995 Tensor products of \(C^*\)-algebras and operator spaces. The Connes-Kirchberg problem. Zbl 1453.46002Pisier, Gilles 8 2020 Remarks on complemented subspaces of von Neumann algebras. Zbl 0774.46032Pisier, G. 7 1992 The “maximal” tensor product of operator spaces. Zbl 0940.46042Oikhberg, Timur; Pisier, Gilles 7 1999 The operator Hilbert space OH and type III von Neumann algebras. Zbl 1068.46034Pisier, Gilles 7 2004 The non-commutative Khintchine inequalities for \(0<p<1\). Zbl 1385.46045Pisier, Gilles; Ricard, Éric 7 2017 Quantum expanders and geometry of operator spaces. Zbl 1307.46045Pisier, Gilles 7 2014 An inequality for \(p\)-orthogonal sums in non-commutative \(L_p\). Zbl 0976.60016Pisier, Gilles 7 2000 Ideals in \(L(L_1)\). Zbl 07159967Johnson, W. B.; Pisier, G.; Schechtman, G. 7 2020 The operator Hilbert space and complex interpolation. (Espace de Hilbert d’opérateurs et interpolation complexe.) Zbl 0803.47039Pisier, Gilles 6 1993 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 Quadratic forms in unitary operators. Zbl 0889.47007Pisier, Gilles 6 1997 Un théorème d’extrapolation et ses consequences. Zbl 0258.46031Maurey, Bernard; Pisier, Gilles 6 1973 Quotients of Banach spaces of cotype q. Zbl 0487.46006Pisier, Gilles 5 1982 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 Necessary and sufficient conditions for the uniform convergence of random trigonometric series. Zbl 0409.60036Marcus, M. B.; Pisier, G. 5 1978 A simple proof of a theorem of Jean Bourgain. Zbl 0787.47021Pisier, G. 5 1992 Un exemple concernant la super-reflexivité. Zbl 0315.46022Pisier, G. 5 1975 Martingales à valeurs dans les espaces uniformement convexes. Zbl 0291.46009Pisier, Gilles 5 1974 The similarity degree of an operator algebra. II. Zbl 0949.47055Pisier, Gilles 4 2000 Random series in the real interpolation spaces between the spaces \(v_ p\). Zbl 0634.46009Pisier, Gilles; Xu, Quanhua 4 1987 The dual \(J^ *\) of the James space has cotype 2 and the Gordon-Lewis property. Zbl 0649.46022Pisier, Gilles 4 1988 Conditions d’entropie et caractérisations arithmétiques des ensembles de Sidon. Zbl 0539.43004Pisier, Gilles 4 1983 Remarques sur les classes de Vapnik-Červonenkis. Zbl 0555.60005Pisier, Gilles 4 1984 Tensor products of \(C^*\)-algebras and operator spaces. The Connes-Kirchberg problem. Zbl 1453.46002Pisier, Gilles 8 2020 Ideals in \(L(L_1)\). Zbl 07159967Johnson, 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 2 2020 Impossibility of dimension reduction in the nuclear norm. Zbl 1412.46036Naor, Assaf; Pisier, Gilles; Schechtman, Gideon 2 2018 The non-commutative Khintchine inequalities for \(0<p<1\). Zbl 1385.46045Pisier, Gilles; Ricard, Éric 7 2017 On uniformly bounded orthonormal Sidon systems. Zbl 1385.43001Pisier, Gilles 4 2017 Martingales in Banach spaces. Zbl 1382.46002Pisier, Gilles 62 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 3 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. 10 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 7 2014 Random matrices and subexponential operator spaces. Zbl 1327.46054Pisier, Gilles 1 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 68 2012 Completely co-bounded Schur multipliers. Zbl 1268.46037Pisier, Gilles 1 2012 Real interpolation between row and column spaces. Zbl 1245.46047Pisier, Gilles 3 2011 Complex interpolation between Hilbert, Banach and operator spaces. Zbl 1213.46002Pisier, Gilles 17 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 10 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 260 2003 Non-commutative \(L^p\)-spaces. Zbl 1046.46048Pisier, Gilles; Xu, Quanhua 220 2003 Stochastic approximation properties in Banach spaces. Zbl 1059.46017Fonf, V. P.; Johnson, W. B.; Pisier, G.; Preiss, D. 4 2003 Laurent Schwartz (1915–2002). Zbl 1159.01350Treves, François; Pisier, Gilles; Yor, Marc 1 2003 Operator spaces. Zbl 1041.46042Pisier, Gilles 1 2003 Grothendieck’s theorem for operator spaces. Zbl 1033.46044Pisier, Gilles; Shlyakhtenko, Dimitri 39 2002 Sharp estimates in vector Carleson imbedding theorem and for vector paraproducts. Zbl 0983.42006Nazarov, F.; Pisier, G.; Treil, S.; Volberg, A. 22 2002 Similarity problems and completely bounded maps. Includes the solution to “The Halmos problem”. 2nd, expanded ed. Zbl 0971.47016Pisier, Gilles 44 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 7 1999 Non-commutative vector valued \(L_p\)-spaces and completely \(p\)-summing maps. Zbl 0937.46056Pisier, Gilles 123 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 95 1997 A polynomially bounded operator on Hilbert space which is not similar to a contraction. Zbl 0869.47014Pisier, Gilles 45 1997 Quadratic forms in unitary operators. Zbl 0889.47007Pisier, Gilles 6 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 78 1996 A simple proof of a theorem of Kirchberg and related results on \(C^*\)-norms. Zbl 0858.46045Pisier, Gilles 15 1996 Non-commutative martingale inequalities. (Inégalités de martingales non commutatives.) Zbl 0865.60036Pisier, Gilles; Xu, Quanhua 3 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 2 1996 Dvoretzky’s theorem for operator spaces. Zbl 0860.47029Pisier, Gilles 1 1996 Similarity problems and completely bounded maps. Zbl 0843.47010Pisier, Gilles 50 1995 Bilinear forms on exact operator spaces and \(B(H) \otimes B(H)\). Zbl 0832.46052Junge, M.; Pisier, G. 37 1995 Exact operator spaces. Zbl 0844.46031Pisier, Gilles 18 1995 Multipliers and lacunary sets in non-amenable groups. Zbl 0853.43008Pisier, Gilles 15 1995 Projections from a von Neumann algebra onto a subalgebra. Zbl 0820.46058Pisier, Gilles 10 1995 Regular operators between non-commutative \(L_ p\)-spaces. Zbl 0826.46056Pisier, Gilles 8 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 14 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 28 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 3 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 31 1992 Factorization of operator valued analytic functions. Zbl 0791.47015Pisier, Gilles 16 1992 Remarks on complemented subspaces of von Neumann algebras. Zbl 0774.46032Pisier, G. 7 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 82 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 332 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 33 1988 Riesz transforms: A simpler analytic proof of P. A. Meyer’s inequality. Zbl 0645.60061Pisier, Gilles 27 1988 Weak Hilbert spaces. Zbl 0666.46009Pisier, Gilles 27 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 158 1986 Probabilistic methods in the geometry of Banach spaces. Zbl 0606.60008Pisier, Gilles 39 1986 Factorization of operators through \(L_{p\infty}\) or \(L_{p1}\) and non- commutative generalizations. Zbl 0619.47016Pisier, Gilles 38 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 Counterexamples to a conjecture of Grothendieck. Zbl 0542.46038Pisier, Gilles 51 1983 A construction of \({\mathcal L}_{\infty}\)-spaces and related Banach spaces. Zbl 0586.46011Bourgain, Jean; Pisier, Gilles 31 1983 Some applications of the metric entropy condition to harmonic analysis. Zbl 0517.60043Pisier, Gilles 13 1983 On the dimension of the \(l_ p^ n\)-subspaces of Banach spaces, for \(1 \leq p < 2\). Zbl 0509.46016Pisier, Gilles 12 1983 ...and 54 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,958 Authors 52 Junge, Marius 46 Pisier, Gilles 36 Naor, Assaf 36 Sukochev, Fedor Anatol’evich 30 Milman, Vitali D. 30 Xu, Quanhua 27 Tomczak-Jaegermann, Nicole 26 Le Merdy, Christian 26 Mendelson, Shahar 23 Bourgain, Jean 23 Castillo, Jesús M. F. 23 Parcet, Javier 21 Ricard, Éric 20 Defant, Andreas 20 Rosalsky, Andrew 18 Palazuelos, Carlos 18 Popescu, Gelu 18 Schechtman, Gideon 17 Hong, Guixiang 17 Mastyło, Mieczysław 17 Pajor, Alain 16 Jiao, Yong 16 Pellegrino, Daniel Marinho 16 Ruan, Zhongjin 15 Johnson, William Buhmann 15 Kalton, Nigel John 15 Paouris, Grigoris 15 Szarek, Stanislaw Jerzy 15 Volodin, Andrei I. 14 Blecher, David P. 14 Giné-Masdéu, Evarist 14 Klartag, Bo’az 14 Sánchez-Pérez, Enrique Alfonso 14 Todorov, Ivan G. 14 Veraar, Mark C. 13 Bekjan, Turdebek N. 13 Giannopoulos, Apostolos A. 13 Osękowski, Adam 13 Ostrovskii, Mikhail Iosifovich 13 Ozawa, Narutaka 13 Weis, Lutz W. 12 Brzeźniak, Zdzisław 12 Cabello Sánchez, Félix 12 Carl, Bernd 12 Linde, Werner 12 Oikhberg, Timur 12 Randrianantoanina, Narcisse 11 Godefroy, Gilles 11 Haagerup, Uffe Valentin 11 Litvak, Aleksandr Evgen’evich 11 Paulsen, Vern Ival 11 Pérez-García, David 11 Popa, Dumitru 11 Talagrand, Michel 11 Zinn, Joel 10 Bastero, Jesús 10 de la Salle, Mikael 10 Guédon, Olivier 10 Hytönen, Tuomas P. 10 Marcus, Michael B. 10 Müller, Paul F. X. 10 Peller, Vladimir Vsevolodovich 10 Shao, Jingjing 10 van Neerven, Jan M. A. M. 10 Zanin, Dmitriy V. 9 Botelho, Geraldo 9 Carando, Daniel G. 9 Fernández-Unzueta, Maite 9 Figiel, Tadeusz 9 Han, Yazhou 9 John, Kamil 9 Kislyakov, Sergeĭ Vital’evich 9 Lê Vǎn Thành 9 Lee, Hun Hee 9 Lupini, Martino 9 Mei, Tao 9 Neufang, Matthias 9 Smith, Roger R. 9 Tropp, Joel A. 9 Wu, Lian 9 Zizler, Vaclav E. 8 Aleksandrov, Aleksei B. 8 Blasco, Oscar 8 Causey, Ryan Michael 8 Dilworth, Stephen J. 8 Gan, Shixin 8 García, Ricardo 8 Jarchow, Hans 8 Kumar, Ajay 8 Magajna, Bojan 8 Pop, Florin 8 Potapov, Denis 8 Rudelson, Mark 8 Rueda, Pilar 8 Schlumprecht, Thomas 8 Sinclair, Allan M. 8 Suárez de la Fuente, Jesús 8 Turowska, Lyudmila B. 8 Vershynin, Roman 7 Artstein-Avidan, Shiri ...and 1,858 more Authors all top 5 Cited in 308 Serials 278 Journal of Functional Analysis 127 Israel Journal of Mathematics 119 Journal of Mathematical Analysis and Applications 113 Proceedings of the American Mathematical Society 91 Transactions of the American Mathematical Society 64 Advances in Mathematics 54 Mathematische Annalen 46 Integral Equations and Operator Theory 40 Probability Theory and Related Fields 37 Communications in Mathematical Physics 35 Positivity 30 Journal of Approximation Theory 25 The Annals of Probability 25 Statistics & Probability Letters 25 Stochastic Processes and their Applications 23 Studia Mathematica 23 Mathematische Zeitschrift 23 Journal of Theoretical Probability 22 Lithuanian Mathematical Journal 22 Journal of Multivariate Analysis 22 Linear Algebra and its Applications 21 Geometric and Functional Analysis. 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Series B 5 Infinite Dimensional Analysis, Quantum Probability and Related Topics 5 Journal of the European Mathematical Society (JEMS) 5 Lobachevskii Journal of Mathematics ...and 208 more Serials all top 5 Cited in 56 Fields 1,519 Functional analysis (46-XX) 759 Operator theory (47-XX) 579 Probability theory and stochastic processes (60-XX) 225 Harmonic analysis on Euclidean spaces (42-XX) 187 Convex and discrete geometry (52-XX) 124 Abstract harmonic analysis (43-XX) 86 Quantum theory (81-XX) 78 Statistics (62-XX) 74 Topological groups, Lie groups (22-XX) 74 Approximations and expansions (41-XX) 59 Functions of a complex variable (30-XX) 58 Measure and integration (28-XX) 57 Linear and multilinear algebra; matrix theory (15-XX) 52 Computer science (68-XX) 47 Real functions (26-XX) 45 Group theory and generalizations (20-XX) 43 Combinatorics (05-XX) 40 Partial differential equations (35-XX) 39 Information and communication theory, circuits (94-XX) 37 Numerical analysis (65-XX) 31 Operations research, mathematical programming (90-XX) 27 Mathematical logic and foundations (03-XX) 25 Dynamical systems and ergodic theory (37-XX) 22 Global analysis, analysis on manifolds (58-XX) 20 Several complex variables and analytic spaces (32-XX) 20 General topology (54-XX) 19 Geometry (51-XX) 18 Differential geometry (53-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Nonassociative rings and algebras (17-XX) 13 Difference and functional equations (39-XX) 11 Number theory (11-XX) 11 Associative rings and algebras (16-XX) 11 Integral transforms, operational calculus (44-XX) 10 History and biography (01-XX) 10 Ordinary differential equations (34-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Algebraic geometry (14-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 6 Integral equations (45-XX) 5 \(K\)-theory (19-XX) 4 Category theory; homological algebra (18-XX) 4 Potential theory (31-XX) 4 Special functions (33-XX) 4 Sequences, series, summability (40-XX) 4 Algebraic topology (55-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 3 Fluid mechanics (76-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Manifolds and cell complexes (57-XX) 2 Geophysics (86-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-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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