Some remarks on farthest points

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F11%3A00358303" target="_blank" >RIV/67985840:_____/11:00358303 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s13398-011-0012-z" target="_blank" >http://dx.doi.org/10.1007/s13398-011-0012-z</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s13398-011-0012-z" target="_blank" >10.1007/s13398-011-0012-z</a>

Result language

angličtina

Original language name

Some remarks on farthest points

Original language description

We use renormings and generic differentiability of convex functions to prove some results on farthest points in sets in Banach spaces. As a corollary, we obtain an alternative proof of the Lindenstrauss-Troyanski result on representation of weakly compact convex sets by means of strongly exposed points. We use this approach to simplify former proofs of several known results in this area.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/IAA100190901" target="_blank" >IAA100190901: Topological and geometric structures in Banach spaces</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2011

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales

ISSN

1578-7303

e-ISSN

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Volume of the periodical

105

Issue of the periodical within the volume

1

Country of publishing house

ES - SPAIN

Number of pages

13

Pages from-to

119-131

UT code for WoS article

000289765000009

EID of the result in the Scopus database

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