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Mathematics

D-Index
32
Citations
6062
World Ranking
3136
National Ranking
187

Overview

Gilles Godefroy is affiliated with the Institut de Mathématiques de Jussieu in France. Their research is situated primarily within the field of Mathematics, with a focus spanning multiple subfields including Mathematical Physics, Geometry and Topology, Applied Mathematics, and Statistics and Probability.

Their body of work covers several advanced topics in mathematical theory and analysis. These topics include:

  • Advanced Banach Space Theory
  • Advanced Topology and Set Theory
  • Fixed Point Theorems Analysis
  • Approximation Theory and Sequence Spaces
  • Advanced Harmonic Analysis Research
  • Mathematical and Theoretical Analysis
  • Holomorphic and Operator Theory

Godefroy has published recent papers in a variety of academic journals, indicating engagement with ongoing research in mathematical analysis and functional analysis. Selected recent publications include:

  • "Lipschitz approximable Banach spaces", 2020, Commentationes Mathematicae Universitatis Carolinae
  • "Lipschitz-free spaces and approximating sequences of projections", 2024, Banach Journal of Mathematical Analysis
  • "Revisiting the fundamental theorem of calculus", 2023, Journal of Mathematical Analysis and Applications
  • "Selected problems on a golden braid: c_0, l_1, l_∞", 2025, Analysis Mathematica

Their publication venues are diverse, reflecting the interdisciplinary nature of their research across branches of mathematical analysis and topology:

  • Commentationes Mathematicae Universitatis Carolinae
  • Banach Journal of Mathematical Analysis
  • Journal of Mathematical Analysis and Applications
  • Analysis Mathematica

Godefroy's work is characterized by a focus on complex concepts such as Banach spaces, approximation sequences, and fundamental mathematical theorems. The wide range of topics and publication venues point to a broad and in-depth engagement with both theoretical and applied aspects of mathematical sciences.

Best Publications

  • Smoothness and renormings in Banach spaces

    Robert Deville;Gilles Godefroy;Václav Zizler

  • Operators with dense, invariant, cyclic vector manifolds

    Gilles Godefroy;Joel H Shapiro

  • Lipschitz-free Banach spaces

    G. Godefroy;N. J. Kalton

  • Voronoi tessellation to study the numerical density and the spatial distribution of neurones.

    Charles Duyckaerts;Gilles Godefroy

  • Unconditional ideals in Banach spaces

    G. Godefroy;N. J. Kalton;P. D. Saphar

  • A smooth variational principle with applications to Hamilton-Jacobi equations in infinite dimensions

    Robert Deville;Gilles Godefroy;Václav Zizler

  • Some topological and geometrical structures in Banach spaces

    N. Ghoussoub

  • A survey on Lipschitz-free Banach Spaces

    Gilles Godefroy

  • Duality in spaces of operators and smooth norms on Banach spaces

    Gilles Godefroy;Pierre David Saphar

  • Szlenk indices and uniform homeomorphisms

    G. Godefroy;N. J. Kalton;G. Lancien

  • The dual of every Asplund space admits a projectional resolution of the identity

    Marián Fabian;Gilles Godefroy

  • Descriptive Set Theory and Banach Spaces

    Spiros A. Argyros;Gilles Godefroy;Haskell P. Rosenthal

  • Metric characterization of first Baire class linear forms and octahedral norms

    Gilles Godefroy

  • Boundaries of a convex set and interpolation sets

    Gilles Godefroy;Gilles Godefroy

  • Some Applications of Projective Resolutions of Identity

    Robert Deville;Gilles Godefroy

  • Evaluation of neuronal numerical density by Dirichlet tessellation

    Charles Duyckaerts;Gilles Godefroy;Jean-Jacques Hauw

  • Smoothness in weakly compactly generated Banach spaces

    G Godefroy;S Troyanski;J.H.M Whitfield;V Zizler

  • STRONG PROXIMINALITY AND POLYHEDRAL SPACES

    Unknown

  • SUBSPACES OF c0(N) AND LIPSCHITZ ISOMORPHISMS

    G. Godefroy;N. Kalton;G. Lancien

  • Free Banach spaces and the approximation properties

    Gilles Godefroy;Narutaka Ozawa

  • ON UNIFORMLY CONVEX AND UNIFORMLY KADEC-KLEE RENORMINGS

    Gilles Lancien;G. Godefroy

  • Spaces of Lipschitz and Hölder functions and their applications

    Fritz Gesztesy;Gilles Godefroy;Loukas Grafakos;Igor Verbitsky

Frequent Co-Authors

Fritz Gesztesy
Fritz Gesztesy Baylor University
Loukas Grafakos
Loukas Grafakos University of Missouri
Nigel J. Kalton
Nigel J. Kalton University of Missouri
Charles Duyckaerts
Charles Duyckaerts Université Paris Cité
Jean-Jacques Hauw
Jean-Jacques Hauw Grenoble Alpes University
Petr Hájek
Petr Hájek Czech Academy of Sciences
Michel Talagrand
Michel Talagrand Centre national de la recherche scientifique, CNRS
Haskell P. Rosenthal
Haskell P. Rosenthal The University of Texas at Austin

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