Ideal exhaustiveness, weak convergence and weak compactness in Banach spaces

DOI10.14321/realanalexch.37.2.0389zbMath1276.28024OpenAlexW2133354085MaRDI QIDQ2392522

Antonio Boccuto, Pratulananda Das, Xenofon Dimitriou, Nikolaos Papanastassiou

Publication date: 1 August 2013

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rae/1366030633

zbMATH Keywords

ideal convergenceP-idealideal limit pointweak ideal convergenceadmissible ideal(uniform) ideal countable additivity(uniform) ideal s-boundednessideal (weak) Fréchet compactnessideal (weak) sequential compactnessideal closureideal continuous convergenceideal exhaustivenessnorm ideal convergence

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Set functions, measures and integrals with values in ordered spaces (28B15) Ideal and statistical convergence (40A35)

Related Items (3)

Ascoli-type theorems in the cone metric space setting ⋮ Compactness with ideals ⋮ Ideal convergence and divergence of nets in (ℓ)-groups

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