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Attainment and (sub)differentiability of the infimal convolution of a function and the square of the norm

SYSNO ASEP	0353273
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Attainment and (sub)differentiability of the infimal convolution of a function and the square of the norm
Author(s)	Cibulka, R. (CZ) Fabian, Marián (MU-W)_{RID, SAI, ORCID}
Source Title	Journal of Mathematical Analysis and Applications. - : Elsevier - ISSN 0022-247X Roč. 368, č. 2 (2010), s. 538-550
Number of pages	13 s.
Language	eng - English
Country	US - United States
Keywords	Infimal convolution ; Strong attainment ; Distance function ; Fréchet smooth norm
Subject RIV	BA - General Mathematics
R&D Projects	GA201/07/0394 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000277395900014
EID SCOPUS	77952884209
DOI	doi:10.1016/j.jmaa.2010.03.027
Annotation	Let X be a Banach space whose norm is simultaneously LUR and Gateaux (Fréchet) smooth. Under some assumptions, it is shown that the infimal convolution of a fairly general function on X and the square of the norm is generically strongly attained and hence is Gateaux (Fréchet) differentiable. This contains a result of S. Dutta on distance functions.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2011

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