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Banach spaces with projectional skeletons
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SYSNO ASEP 0324271 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Banach spaces with projectional skeletons Title Banachovy prostory s projekčními skeletony Author(s) Kubiś, Wieslaw (MU-W) RID, ORCID, SAI Source Title Journal of Mathematical Analysis and Applications. - : Elsevier - ISSN 0022-247X
Roč. 350, č. 2 (2009), s. 758-776Number of pages 19 s. Language eng - English Country US - United States Keywords projection ; projectional skeleton ; norming set Subject RIV BA - General Mathematics CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000261895900031 Annotation We show that every space with a projectional skeleton has a projectional resolution of the identity and has a norming space with similar properties to .SIGMA.-spaces. As a corollary, we show that a Banach space is Plichko if and only if it has a commutative projectional skeleton. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2009
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