Inner characterizations of weakly compactly generated Banach spaces and their relatives

DOI10.1016/j.jmaa.2004.02.015zbMath1063.46013OpenAlexW2082731569WikidataQ101069225 ScholiaQ101069225MaRDI QIDQ1883347

Gilles Godefroy, Václav Zizler, Martin Fabian, Vicente Montesinos Santalucía

Publication date: 12 October 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.02.015

zbMATH Keywords

Eberlein compactaweakly compactly generated Banach spacesGâteaux smoothnessGul'ko compactaTalagrand compactaVašák spacesweakly Lindelóf determined spaces

Mathematics Subject Classification ID

Compactness (54D30) Isomorphic theory (including renorming) of Banach spaces (46B03) Nonseparable Banach spaces (46B26)

Related Items

Network characterization of Gul'ko compact spaces and their relatives, WCG spaces and their subspaces grasped by projectional skeletons, Characterization of (semi-)Eberlein compacta using retractional skeletons, Characterizations of weakly \(\mathcal{K} \)-analytic and Vašák spaces using projectional skeletons and separable PRI, The McShane integral in weakly compactly generated spaces, Differentiability of \(L^p\) of a vector measure and applications to the Bishop-Phelps-Bollobás property, Integration in Hilbert generated Banach spaces, On lineability in vector integration, Rotund Gâteaux smooth norms which are not locally uniformly rotund, Weak compactness, transfinite Schauder bases and differentiability, Gul'ko, descriptive, and Gruenhage compact spaces, Renormings of \(C(K)\) spaces, Rich families and projectional skeletons in Asplund WCG spaces, A note on weakly Lindelöf determined Banach spaces, Sigma-finite dual dentability indices, Sigma-locally uniformly rotund and sigma-weak\(^*\) Kadets dual norms, FLAT SETS, ℓ_p-GENERATING AND FIXING c₀ IN THE NONSEPARABLE SETTING, On weak compactness in \(L_1\) spaces, On coincidence of Pettis and McShane integrability

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometry of Banach spaces. Selected topics
• Martingales with values in uniformly convex spaces
• Continuous images of weakly compact subsets of Banach spaces
• Espaces de Banachs faiblement K-analytiques
• On weakly Lindelöf Banach spaces
• Hilbert-generated spaces.
• Convexity and \(w^*\)-compactness in Banach spaces
• Pointwise semicontinuous smooth norms
• The structure of weakly compact sets in Banach spaces
• A quantitative version of Krein's theorem
• Resolutions of the identity in certain Banach spaces
• On the Structure of Weakly Compact Subsets of Hilbert Spaces and Applications to the Geometry of Banach Spaces
• On Weakly Countably Determined Banach Spaces
• The structure of Eberlein, uniformly Eberlein and Talagrand compact spaces in Σ($R^r$)
• On non-separable Banach spaces with a symmetric basis
• Weakly compact sets and smooth norms in Banach spaces
• Biorthogonal Systems in Weakly Lindelöf Spaces
• COMPLEMENTATION AND EMBEDDINGS OF c₀(I) IN BANACH SPACES
• A CHARACTERIZATION OF SUBSPACES OF WEAKLY COMPACTLY GENERATED BANACH SPACES
• The day norm and Gruenhage compacta
• Examples concerning heredity problems of WCG Banach spaces
• Functional analysis and infinite-dimensional geometry
• The structure of uniformly Gâteaux smooth Banach spaces