Gilles Pisier

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Gilles Pisier

Gilles Jean Georges Pisier (born November 18, 1950 in Nouméa , New Caledonia ) is a French mathematician who made important contributions to functional analysis.

Life

Pisier attended the Lycée Louis-le-Grand in Paris and studied mathematics from 1969 to 1972 at the École polytechnique in Palaiseau . In 1972 he received his DEA degree from the University of Paris VI , was then a researcher at the CNRS and received his PhD in 1977 with honors under Laurent Schwartz at the University of Paris VII . In 1981 he was appointed to a professorship in mathematics at the University of Paris VI (from 1991 as Professeur de Classe Exceptionnelle). Since 1985 he has been Professor of Mathematics at Texas A&M University . Among other things, he was visiting professor at IHES (1984/85, 1990) and at the Institute for Advanced Study (1988).

His older sister Marie-France Pisier was a well-known actress, screenwriter and director.

Services

Pisier deals with functional analysis (geometry of Banach spaces, interpolation in Banach spaces and the solution of an open problem by Alexander Grothendieck about tensor products of Banach spaces, where he introduced a space named after him, the Pisier space), operator algebras, spaces of operators, harmonic analysis (random Fourier series, partly with Michael Marcus ) and probability theory (random processes in Banach spaces, Martingale ). He has published more than 100 scientific papers and 8 specialist books.

Honors

In 1979 Pisier was awarded the Salem Prize , in 1997 he received the Ostrowski Prize , and in 2001 he was awarded the Stefan Banach Medal . He has been a corresponding member since 1994, a full member of the Académie des Sciences since 2002 and an external member of the Polish Academy of Sciences since 2005 . In 1981 he held the Cours Peccot des Collège de France . In 1992 he received the Grand Prize of the French Academy of Sciences and in 1982 its Prix Carriére.

In 1998 he gave a plenary lecture at the ICM in Berlin ( Operator spaces and similarity problems ), in 1983 he was invited speaker at the ICM in Warsaw ( Finite rank projections on Banach-Spaces and a conjecture of Grothendieck ).

He is a fellow of the American Mathematical Society .

Fonts

  • with Michael Marcus: Random Fourier Series with applications to harmonic analysis , Annals of Mathematical Studies, Princeton UP, 1981
  • Factorization of linear operators and geometry of Banach spaces , American Mathematical Society, 1986
  • The Operator Hilbert Space OH, complex interpolation and tensor norms , Memoirs AMS, 1996
  • The volume of convex bodies and Banach Space Geometry . Cambridge University Press, 1989
  • Similarity problems and completely bounded maps . Springer, Lecture Notes in Mathematics Vol. 1618, 1996, 2001
  • An introduction to the theory of operator spaces . Cambridge University Press, 2002
  • Problèmes de similiarité pour les opérateurs sur l'espace de Hilbert, in: Michele Audin (ed.), Matériaux pour l'histoire des mathématiques au XXe siècle Actes du colloque à la mémoire de Jean Dieudonné (Nice 1996), SMF 1998

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