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Uniformly Gâteaux smooth approximations on c0(Γ )

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    0324235 - MÚ 2009 RIV US eng J - Journal Article
    Hájek, Petr Pavel - Johanis, M.
    Uniformly Gâteaux smooth approximations on c0(Γ ).
    [Uniformné Gâteauxovské aproximace lipschitzovských funkcí na c0 (.GAMMA.).]
    Journal of Mathematical Analysis and Applications. Roč. 350, č. 2 (2009), s. 623-629. ISSN 0022-247X. E-ISSN 1096-0813
    R&D Projects: GA ČR GA201/07/0394; GA ČR GA201/06/0018
    Institutional research plan: CEZ:AV0Z10190503
    Keywords : uniformly Gâteaux smoothness * C-infinity-Frechet * approximation
    Subject RIV: BA - General Mathematics
    Impact factor: 1.225, year: 2009

    We prove that every Lipschitz operator from c0(.GAMMA.) is uniformly approximable by C.INFIN. smooth and uniformly Gâteaux smooth operator.

    Dokazujeme, že každý lipschitzovský operátor z c0 (.GAMMA.) je uniformně aproximovatelný C.INFIN. hladkým a uniformně Gâteaux hladkým operátorem.
    Permanent Link: http://hdl.handle.net/11104/0171985

     
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