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Sigma-finite dual dentability indices
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SYSNO ASEP 0336554 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Sigma-finite dual dentability indices Title Sigma-konečné dentabilní indexy Author(s) Fabian, Marián (MU-W) RID, SAI, ORCID
Montesinos, V. (ES)
Zizler, Václav (MU-W) RID, SAISource Title Journal of Mathematical Analysis and Applications. - : Elsevier - ISSN 0022-247X
Roč. 350, č. 2 (2009), s. 498-507Number of pages 10 s. Language eng - English Country US - United States Keywords Dentability indices ; Uniformly Gateaux smooth norms ; Weak compactness ; Uniform Eberlein compacts Subject RIV BA - General Mathematics R&D Projects IAA100190610 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) IAA100190502 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000261895900008 DOI 10.1016/j.jmaa.2008.02.031 Annotation A characterization of Banach spaces admitting uniformly Gateaux smooth norms in terms of sigma-finite dual dentability indices is given. Some applications in the area of weak compactness are discussed. We also study sigma-locally uniformly rotund dual renormings in connection with sigma-countable dual dentability indices. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2010
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