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

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F10%3A00503221" target="_blank" >RIV/49777513:23520/10:00503221 - isvavai.cz</a>

Alternative codes found

RIV/67985840:_____/10:00353273

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

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

Original language description

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.

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/GA201%2F07%2F0394" target="_blank" >GA201/07/0394: Infinite dimensional analysis</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2010

Confidentiality

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

Name of the periodical

Journal of Mathematical Analysis and Applications

ISSN

0022-247X

e-ISSN

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Volume of the periodical

368

Issue of the periodical within the volume

1

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

13

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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