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Some remarks on farthest points

SYSNO ASEP	0358303
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Some remarks on farthest points
Author(s)	Montesinos, V. (ES) Zizler, P. (CA) Zizler, Václav (MU-W)_{RID, SAI}
Source Title	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales, Seria A: Matemáticas. - : Springer - ISSN 1578-7303 Roč. 105, č. 1 (2011), s. 119-131
Number of pages	13 s.
Language	eng - English
Country	ES - Spain
Keywords	farthest points ; strongly exposed points ; generic differentiability ; convex functions
Subject RIV	BA - General Mathematics
R&D Projects	IAA100190901 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000289765000009
EID SCOPUS	79952578784
DOI	10.1007/s13398-011-0012-z
Annotation	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.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2012

Number of the records: 1