Počet záznamů: 1

Some remarks on farthest points

  1. 1.
    0358303 - MU-W 2012 RIV ES eng J - Článek v odborném periodiku
    Montesinos, V. - Zizler, P. - Zizler, Václav
    Some remarks on farthest points.
    Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Roč. 105, č. 1 (2011), s. 119-131 ISSN 1578-7303
    Grant CEP: GA AV ČR IAA100190901
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: farthest points * strongly exposed points * generic differentiability * convex functions
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.340, rok: 2011
    http://link.springer.com/article/10.1007%2Fs13398-011-0012-z

    We use renormings and generic differentiability of convex functions to prove some results on farthest points in sets in Banach spaces. As a corollary, we obtain an alternative proof of the Lindenstrauss-Troyanski result on representation of weakly compact convex sets by means of strongly exposed points. We use this approach to simplify former proofs of several known results in this area.
    Trvalý link: http://hdl.handle.net/11104/0196390
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