Sigma-locally uniformly rotund and sigma-weak* Kadets dual norms

0336564 - MÚ 2010 RIV NL eng J - Článek v odborném periodiku
Fabian, Marián - Montesinos, V. - Zizler, Václav
Sigma-locally uniformly rotund and sigma-weak* Kadets dual norms.
Topology and its Applications. Roč. 156, č. 7 (2009), s. 1374-1380. ISSN 0166-8641. E-ISSN 1879-3207
Grant CEP: GA AV ČR(CZ) IAA100190610; GA AV ČR IAA100190502
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: dual Banach space * sigma-LUR norm * kadets norm * weak* LUR norm * sigma-asplund generated space * sigma-weak*
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.441, rok: 2009

The dual X* of a Banach space X admits a dual sigma-LUR norm if (and only if) X* admits a sigma-weak* Kadets norm if and only if X* admits a dual weak* LUR norm and moreover X is sigma-Asplund generated.
Trvalý link: http://hdl.handle.net/11104/0180770