NOTE ON BESSAGA-KLEE CLASSIFICATION

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10314323" target="_blank" >RIV/00216208:11320/15:10314323 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.4064/cm140-1-5" target="_blank" >http://dx.doi.org/10.4064/cm140-1-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4064/cm140-1-5" target="_blank" >10.4064/cm140-1-5</a>

Result language
angličtina
Original language name
NOTE ON BESSAGA-KLEE CLASSIFICATION
Original language description
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. Pelczynski (1975). We further provide a simplified version of T. Dobrowolski's proof of the smooth classification of smooth convex bodies in Banach spaces which also works in the topological case.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GAP201%2F12%2F0290" target="_blank" >GAP201/12/0290: Topological and geometrical properties of Banach spaces and operator algebras</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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