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2011/2012 Ideal Exhaustiveness, Weak Convergence and Weak Compactness in Banach Spaces
Antonio Boccuto, Pratulananda Das, Xenofon Dimitriou, Nikolaos Papanastassiou
Real Anal. Exchange 37(2): 389-410 (2011/2012).


Some types of compactness in the ideal context are defined and relations between ideal exhaustiveness and equicontinuity of measures are investigated. As applications, some versions of limit theorems involving ideal pointwise convergence of measure sequences and some weak compactness results related to integral functionals are presented.


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Antonio Boccuto. Pratulananda Das. Xenofon Dimitriou. Nikolaos Papanastassiou. "Ideal Exhaustiveness, Weak Convergence and Weak Compactness in Banach Spaces." Real Anal. Exchange 37 (2) 389 - 410, 2011/2012.


Published: 2011/2012
First available in Project Euclid: 15 April 2013

zbMATH: 1276.28024
MathSciNet: MR3080600

Primary: 28A20 , 28B15
Secondary: 54A20

Keywords: (admissible) ideal , (uniform) ideal countable additivity , (uniform) ideal exhaustiveness , (uniform) ideal s-boundedness , ideal (weak) Frechet compactness , ideal (weak) sequential compactness , ideal closure , ideal continuous convergence , ideal convergence , ideal limit point , norm ideal convergence , P-ideal , weak ideal convergence

Rights: Copyright © 2011 Michigan State University Press

Vol.37 • No. 2 • 2011/2012
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