Počet záznamů: 1

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

  1. 1.
    0353273 - MU-W 2011 RIV US eng J - Článek v odborném periodiku
    Cibulka, R. - Fabian, Marián
    Attainment and (sub)differentiability of the infimal convolution of a function and the square of the norm.
    Journal of Mathematical Analysis and Applications. Roč. 368, č. 2 (2010), s. 538-550 ISSN 0022-247X
    Grant CEP: GA ČR GA201/07/0394
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: Infimal convolution * Strong attainment * Distance function * Fréchet smooth norm
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 1.174, rok: 2010
    http://www.sciencedirect.com/science/article/pii/S0022247X10002362

    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.
    Trvalý link: http://hdl.handle.net/11104/0192564
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