Hilbert-generated spaces.

DOI10.1016/S0022-1236(03)00044-2zbMath1039.46015OpenAlexW2048245123MaRDI QIDQ1395790

Gilles Godefroy, Václav Zizler, Martin Fabian, Petr Hájek

Publication date: 1 July 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-1236(03)00044-2

zbMATH Keywords

modulus of smoothnessHilbert generated spaceuniformly Eberlein compact spaceuniformly Gâteaux smooth norm

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Nonseparable Banach spaces (46B26)

Related Items

Super WCG Banach spaces, Inner characterizations of weakly compactly generated Banach spaces and their relatives, Strongly Asplund generated and strongly conditionally weakly compactly generated Banach spaces, On Stegall's smooth variational principle, The day norm and Gruenhage compacta, The McShane integral in weakly compactly generated spaces, On non-separable \(L^1\)-spaces of a vector measure, The weak McShane integral, Integration in Hilbert generated Banach spaces, Equilateral and separated sets in some Hilbert generated Banach spaces, On lineability in vector integration, Subspaces of Hilbert-generated Banach spaces and the quantification of super weak compactness, Hilbert generated Banach spaces need not have a norming Markushevich basis, Sigma-finite dual dentability indices, FLAT SETS, ℓ_p-GENERATING AND FIXING c₀ IN THE NONSEPARABLE SETTING, Open problems in Banach spaces and measure theory, Characterization of reflexivity by equivalent renorming, Topological properties in tensor products of Banach spaces, On super fixed point property and super weak compactness of convex subsets in Banach spaces

Cites Work

• Convex functions, monotone operators and differentiability.
• Factoring weakly compact operators
• Some remarks on weakly compactly generated Banach spaces
• Embedding weakly compact sets into Hilbert space
• Martingales with values in uniformly convex spaces
• Continuous images of weakly compact subsets of Banach spaces
• Polynomials and injections of Banach spaces
• Banach spaces which can be given an equivalent uniformly convex norm
• On the Structure of Weakly Compact Subsets of Hilbert Spaces and Applications to the Geometry of Banach Spaces
• The structure of Eberlein, uniformly Eberlein and Talagrand compact spaces in Σ($R^r$)
• Reflexive Banach spaces without equivalent norms which are uniformly convex or uniformly differentiable in every direction
• On non-separable Banach spaces with a symmetric basis
• Smooth bump functions and geomentry of Banach spaces
• Second Order Differentiability of Convex Functions in Banach Spaces
• Trees in Renorming Theory
• Functional analysis and infinite-dimensional geometry
• The structure of uniformly Gâteaux smooth Banach spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item