On non-fragmentability of Banach spaces

DOI10.1007/BF02841549zbMath0937.46012MaRDI QIDQ1301555

S. Alireza Kamel Mirmostafaee

Publication date: 23 May 2000

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

Radon-Nikodým propertystrictly convex renormingfragmentability in Banach spacesgeneric differentiability of convex functionsKadec renormingstree-complete sublattice

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (1)

A note on convex renorming and fragmentability

Cites Work

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• Norm fragmented weak\(^*\) compact sets
• Generic differentiability of convex functions on the dual of a Banach space
• A New Space With no Locally Uniformly Rotund Renorming
• Internal characterization of fragmentable spaces
• Radon‐Nikodým compact spaces and fragmentability
• l ∞ /c 0 has no Equivalent Strictly Convex Norm
• The Dual of a Gateaux Smooth Banach Space is Weak Star Fragmentable
• σ‐fragmentable Banach spaces
• Fragmentability and σ-fragmentability
• Topological Properties of Banach Spaces
• σ‐fragmentable Banach spaces

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