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

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    0336564 - MÚ 2010 RIV NL eng J - Journal Article
    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
    R&D Projects: GA AV ČR(CZ) IAA100190610; GA AV ČR IAA100190502
    Institutional research plan: CEZ:AV0Z10190503
    Keywords : dual Banach space * sigma-LUR norm * kadets norm * weak* LUR norm * sigma-asplund generated space * sigma-weak*
    Subject RIV: BA - General Mathematics
    Impact factor: 0.441, year: 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.
    Permanent Link: http://hdl.handle.net/11104/0180770

     
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