Počet záznamů: 1  

Diameter 2 properties and convexity

  1. 1. 0459883 - MU-W 2017 RIV PL eng J - Článek v odborném periodiku
    Abrahamsen, T. A. - Hájek, Petr Pavel - Nygaard, O. - Talponen, J. - Troyanski, S.
    Diameter 2 properties and convexity.
    Studia mathematica. Roč. 232, č. 3 (2016), s. 227-242. ISSN 0039-3223
    Grant CEP: GA ČR GA16-07378S
    Institucionální podpora: RVO:67985840
    Klíčová slova: diameter 2 property * midpoint locally uniformly rotund * Daugavet property
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.535, rok: 2016
    https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/232/3/91534/diameter-2-properties-and-convexity

    We present an equivalent midpoint locally uniformly rotund (MLUR) renorming of with the diameter 2 property (D2P), i.e. every non-empty relatively weakly open subset of the unit ball has diameter 2. An example of an MLUR space with the D2P and with convex combinations of slices of arbitrarily small diameter is also given.
    Trvalý link: http://hdl.handle.net/11104/0260045