Počet záznamů: 1
Diameter 2 properties and convexity
- 1.0459883 - MÚ 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. E-ISSN 1730-6337
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
Počet záznamů: 1