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On Valdivia strong version of Nikodym boundedness property
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SYSNO ASEP 0464470 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On Valdivia strong version of Nikodym boundedness property Author(s) Kąkol, Jerzy (MU-W) SAI, RID, ORCID
López-Pellicer, M. (ES)Source Title Journal of Mathematical Analysis and Applications. - : Elsevier - ISSN 0022-247X
Roč. 446, č. 1 (2017), s. 1-17Number of pages 17 s. Language eng - English Country US - United States Keywords finitely additive scalar measure ; Nikodym and strong Nikodym property ; increasing tree Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GF16-34860L GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 UT WOS 000386982000001 EID SCOPUS 84994141788 DOI 10.1016/j.jmaa.2016.08.032 Annotation Following Schachermayer, a subset BB of an algebra AA of subsets of \omega is said to have the N-property if a BB-pointwise bounded subset M of ba(A)ba(A) is uniformly bounded on AA, where ba(A)ba(A) is the Banach space of the real (or complex) finitely additive measures of bounded variation defined on AA. Moreover BB is said to have the strong N-property if for each increasing countable covering (Bm)m(Bm)m of BB there exists BnBn which has the N-property. The classical Nikodym-Grothendieck's theorem says that each \omega-algebra SS of subsets of Omega has the N-property. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2018
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