Rotundity and smoothness of convex bodies in reflexive and nonreflexive spaces

Victor Klee; Libor Veselý; Clemente Zanco

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Displaying similar documents to “Rotundity and smoothness of convex bodies in reflexive and nonreflexive spaces”

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We collect several variants of the proof of the third case of the Bessaga-Klee relative classification of closed convex bodies in topological vector spaces. We were motivated by the fact that we have not found anywhere in the literature a complete correct proof. In particular, we point out an error in the proof given in the book of C. Bessaga and A. Pełczyński (1975). We further provide a simplified version of T. Dobrowolski's proof of the smooth classification of smooth convex bodies...

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