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Nearstandardness on a finite set

Lyantse V. — 1997

AbstractLet T be a finite set for which card T is a natural nonstandard number. The linear space T of complex-valued functions on T is nonstandard. For the analysis on T we need a concept of nearstandardness in this space. A version how to introduce such a concept is proposed. Some elementary examples are given. CONTENTSIntroduction.................................................................................................................50. Preliminary notes....................................................................................................7 0.1....

On some rotundity and smoothness properties of Banach spaces

V. Zizler — 1971

CONTENTSIntroduction..................................................................................................................................................5Chapter 1. Uniformly rotund directions..................................................................................................7Chapter 2. Duality properties...................................................................................................................15Chapter 4. Some remarks to the theory of weakly uniformly...

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