Počet záznamů: 1

Smooth approximations

  1. 1.
    0345050 - MU-W 2011 RIV US eng J - Článek v odborném periodiku
    Hájek, Petr Pavel - Johanis, M.
    Smooth approximations.
    Journal of Functional Analysis. Roč. 259, č. 3 (2010), s. 561-582 ISSN 0022-1236
    Grant CEP: GA AV ČR IAA100190801
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: C-P-smooth * Banach spaces * Lipschitz
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 1.196, rok: 2010
    http://www.sciencedirect.com/science/article/pii/S0022123610001795

    We prove, among other things, that a Lipschitz (or uniformly continuous) mapping f X -> Y can be approximated (even in a fine topology) by smooth Lipschitz (rest). uniformly continuous) mapping, if X is a separable Banach space admitting a smooth Lipschitz bump and either X or Y is a separable C (K) space (rest) super-reflexive space) Further. we show how smooth approximation of Lipschitz mappings is closely related to a smooth approximation of C-1-smooth mappings together with then first derivatives. As a corollary we obtain new results on smooth approximation of C-1-smooth mappings together with their first derivatives.
    Trvalý link: http://hdl.handle.net/11104/0186415
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