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Infimal convolution in Efimov-Stečkin Banach spaces

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    0099034 - MÚ 2008 RIV US eng J - Journal Article
    Fabian, Marián
    Infimal convolution in Efimov-Stečkin Banach spaces.
    [Infimální konvoluce v Efimových-Stečkinových Banachových prostorech.]
    Journal of Mathematical Analysis and Applications. Roč. 339, č. 1 (2008), s. 735-739. ISSN 0022-247X. E-ISSN 1096-0813
    R&D Projects: GA AV ČR(CZ) IAA100190610
    Institutional research plan: CEZ:AV0Z10190503
    Keywords : reflexive Banach space * Kadec-Klee norm * infimal convolution
    Subject RIV: BA - General Mathematics
    Impact factor: 1.046, year: 2008

    Let X be a reflexive space with Kadec-Klee norm and let f be a Lipschitzian or lower semicontinous, bounded below function on it. Then the infimal convolution of the function f and of the square of the norm is attained at reasidually many points of X.

    Buď X reflexní prostor s Kadecovou-Kleeovou normou a nechť f je lipschitzovská nebo zdola polospojitá zdola omezená funkce na něm. Pak infimální konvoluce funkce f a kvadrátu normy se nabývá v residuálně mnoha bodech prostoru X.
    Permanent Link: http://hdl.handle.net/11104/0157792

     
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