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 sequence and some weak compactness results related to integral functionals are presented.
Ideal exhaustiveness, weak convergence and weak compactness in Banach spaces
BOCCUTO, Antonio;
2012
Abstract
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 sequence and some weak compactness results related to integral functionals are presented.File in questo prodotto:
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