σ‐fragmentable Banach spaces
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Publication:4024713
DOI10.1112/S0025579300006926zbMath0761.46008MaRDI QIDQ4024713
J. E. Jayne, C. A. Rogers, Isaac Namioka
Publication date: 10 February 1993
Published in: Mathematika (Search for Journal in Brave)
Eberlein compact\(\sigma\)-fragmentabilityusco mapweakly compactly generatedequivalent locally uniformly convex normequivalent Kadeč normSouslin-Borel subsettopologically respectable sets
Nonseparable Banach spaces (46B26) Duality and reflexivity in normed linear and Banach spaces (46B10)
Related Items (23)
Metrization theory and the Kadec property ⋮ A quasi-closure preserving sum theorem about the Namioka property ⋮ To history of influence of the theorem of Milyutin on researches in geometry of Banach spaces ⋮ Fragmentability of groups and metric-valued function spaces ⋮ Polyhedrality in pieces ⋮ Continuity points of quasi-continuous mappings. ⋮ Absolute Souslin-\({\mathcal F}\) spaces and other weak-invariants of the norm topology ⋮ A note on convex renorming and fragmentability ⋮ Fragmentability in Banach spaces: interaction of topologies ⋮ Norm continuity of quasi-continuous mappings into \(C_p(X)\) and product spaces ⋮ Norm continuity of weakly continuous mappings into Banach spaces ⋮ On Banach spaces whose norm-open sets are \(F_\sigma \)-sets in the weak topology ⋮ A stability property for locally uniformly rotund renorming ⋮ Sigma-fragmentability and the property SLD in \(C(K)\) spaces ⋮ On weakly locally uniformly rotund Banach spaces ⋮ Topology, isomorphic smoothness and polyhedrality in Banach spaces ⋮ FRAGMENTABILITY BY THE DISCRETE METRIC ⋮ Some observations on \(C_p\)-theory and bibliography ⋮ Some generalizations of locally uniform rotundity ⋮ On non-fragmentability of Banach spaces ⋮ Special issue on \(C_p(X)\)-theory ⋮ On dual locally uniformly rotund norms ⋮ Sigma-fragmentable spaces that are not countable unions of fragmentable subspaces
Cites Work
- Weakly compact sets. Lectures held at S.U.N.Y., Buffalo, in spring 1978
- Separate continuity and joint continuity
- The structure of weakly compact sets in Banach spaces
- Concrete representation of abstract (L)-spaces and the mean ergodic theorem
- Locally uniformly rotund renorming and decompositions of Banach spaces
- A New Space With no Locally Uniformly Rotund Renorming
- Three-Space Problem for Locally Uniformly Rotund Renormings of Banach Spaces
- A Counterexample to Several Questions about Scattered Compact Spaces
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