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Nonexpansive retracts in Banach spaces

Eva Kopecká, Simeon Reich (2007)

Banach Center Publications

We study various aspects of nonexpansive retracts and retractions in certain Banach and metric spaces, with special emphasis on the compact nonexpansive envelope property.

Note on Bessaga-Klee classification

Marek Cúth, Ondřej F. K. Kalenda (2015)

Colloquium Mathematicae

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 in Banach...

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