D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 54 Citations 13,771 155 World Ranking 419 National Ranking 220

Research.com Recognitions

Awards & Achievements

2013 - Fellow of the American Mathematical Society

2005 - Polish Academy of Science

2002 - Academie des sciences, France

Overview

What is he best known for?

The fields of study he is best known for:

  • Hilbert space
  • Mathematical analysis
  • Pure mathematics

His primary areas of investigation include Pure mathematics, Discrete mathematics, Banach space, Lp space and Eberlein–Šmulian theorem. Gilles Pisier interconnects Almost surely, Probability space and Fourier series in the investigation of issues within Pure mathematics. Discrete mathematics is often connected to Hilbert space in his work.

His work deals with themes such as Reflexive space and Graph, which intersect with Banach space. His Interpolation space research extends to Lp space, which is thematically connected. His Eberlein–Šmulian theorem research is multidisciplinary, incorporating perspectives in Approximation property, Bounded inverse theorem and Uniform limit theorem.

His most cited work include:

  • The volume of convex bodies and Banach space geometry (806 citations)
  • Introduction to Operator Space Theory (582 citations)
  • Factorization of Linear Operators and Geometry of Banach Spaces (478 citations)

What are the main themes of his work throughout his whole career to date?

Gilles Pisier mainly focuses on Pure mathematics, Combinatorics, Discrete mathematics, Banach space and Bounded function. His Pure mathematics research includes elements of Interpolation space, Mathematical analysis and Algebra. His study looks at the intersection of Interpolation space and topics like Banach manifold with Geometry.

His study in Discrete mathematics is interdisciplinary in nature, drawing from both Subspace topology and Bilinear form. His Banach space research incorporates themes from Grothendieck inequality, Quotient and Reflexive space. The concepts of his Approximation property study are interwoven with issues in Eberlein–Šmulian theorem and C0-semigroup.

He most often published in these fields:

  • Pure mathematics (40.33%)
  • Combinatorics (47.74%)
  • Discrete mathematics (37.45%)

What were the highlights of his more recent work (between 2015-2020)?

  • Combinatorics (47.74%)
  • Pure mathematics (40.33%)
  • Orthonormal basis (7.41%)

In recent papers he was focusing on the following fields of study:

Gilles Pisier focuses on Combinatorics, Pure mathematics, Orthonormal basis, Banach space and Bounded function. He has researched Combinatorics in several fields, including Discrete group, Linear subspace and Von Neumann algebra. His studies in Commutative property and Eberlein–Šmulian theorem are all subfields of Pure mathematics research.

The concepts of his Orthonormal basis study are interwoven with issues in Structure, Context, Operator space, Uniform boundedness and Space. His works in Banach manifold and Approximation property are all subjects of inquiry into Banach space. In his study, Arithmetic is strongly linked to Martingale, which falls under the umbrella field of Bounded function.

Between 2015 and 2020, his most popular works were:

  • Martingales in Banach Spaces (73 citations)
  • THE NON-COMMUTATIVE KHINTCHINE INEQUALITIES FOR (16 citations)
  • Tensor Products of C*-Algebras and Operator Spaces: The Connes-Kirchberg Problem (8 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Hilbert space
  • Algebra

His primary areas of study are Combinatorics, Banach space, Linear subspace, Injective function and Discrete mathematics. His Combinatorics research includes elements of Continuum, Bounded function and Orthonormal basis. His study focuses on the intersection of Bounded function and fields such as Fourier series with connections in the field of Random variable.

He is involved in the study of Banach space that focuses on Approximation property in particular. His research related to Banach manifold and Lp space might be considered part of Discrete mathematics. His work in Subquotient addresses issues such as Connection, which are connected to fields such as Pure mathematics.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

The volume of convex bodies and Banach space geometry

Gilles Pisier.
(1989)

1270 Citations

Introduction to Operator Space Theory

Gilles Pisier.
(2003)

781 Citations

Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach

Bernard Maurey;Gilles Pisier.
Studia Mathematica (1976)

649 Citations

Factorization of Linear Operators and Geometry of Banach Spaces

Gilles Pisier.
(1986)

640 Citations

Martingales with values in uniformly convex spaces

Gilles Pisier.
Israel Journal of Mathematics (1975)

583 Citations

Non-commutative vector valued Lp-spaces and completely p-summing maps

Gilles Pisier.
arXiv: Functional Analysis (1998)

518 Citations

Probabilistic methods in the geometry of Banach spaces

Gilles Pisier;Gilles Pisier.
(1986)

505 Citations

Chapter 34 - Non-Commutative Lp-Spaces

Gilles Pisier;Quanhua Xu.
Handbook of the Geometry of Banach Spaces (2003)

424 Citations

Similarity problems and completely bounded maps

Gilles Pisier.
(1995)

414 Citations

The Law of Large Numbers and the Central Limit Theorem in Banach Spaces

J. Hoffmann-Jorgensen;G. Pisier.
Annals of Probability (1976)

390 Citations

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