Displaying similar documents to “On some rotundity and smoothness properties of Banach spaces”

On local proof restrictions for strong theories

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CONTENTSIntroduction.................................................................................................................... 5Chapter 1. Preliminaries............................................................................................. 7Chapter 2. Formal arithmetization............................................................................. 12Chapter 3. Proof restriction functions....................................................................... 18Chapter...

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On super-weakly compact sets and uniformly convexifiable sets

Lixin Cheng, Qingjin Cheng, Bo Wang, Wen Zhang (2010)

Studia Mathematica

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This paper mainly concerns the topological nature of uniformly convexifiable sets in general Banach spaces: A sufficient and necessary condition for a bounded closed convex set C of a Banach space X to be uniformly convexifiable (i.e. there exists an equivalent norm on X which is uniformly convex on C) is that the set C is super-weakly compact, which is defined using a generalization of finite representability. The proofs use appropriate versions of classical theorems, such as James'...

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