EQUIVALENCE OF SEMI-NORMS RELATED TO SUPER WEAKLY COMPACT OPERATORS
Sign Up to like & getrecommendations! Published in 2021 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972721000435
Abstract: Abstract We study super weakly compact operators through a quantitative method. We introduce a semi-norm $\sigma (T)$ of an operator $T:X\to Y$ , where X, Y are Banach spaces, the so-called measure of super weak… read more here.
Keywords: equivalence semi; compact operators; semi norms; super weakly ... See more keywords
Some results on disjointly weakly compact sets
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DOI: 10.1515/dema-2025-0169
Abstract: Abstract We give an operator characterization of disjointly weakly compact sets and show that disjointly weakly compact sets coincide with reciprocal Dunford-Pettis sets. We compare disjointly weakly compact sets with almost Grothendieck sets, relatively compact… read more here.
Keywords: disjointly weakly; weakly compact; compact sets; results disjointly ... See more keywords
Ideals of the Quantum Group Algebra, Arens Regularity and Weakly Compact Multipliers
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DOI: 10.4153/s0008439520000077
Abstract: Abstract Let $\mathbb{G}$ be a locally compact quantum group and let $I$ be a closed ideal of $L^{1}(\mathbb{G})$ with $y|_{I}\neq 0$ for some $y\in \text{sp}(L^{1}(\mathbb{G}))$. In this paper, we give a characterization for compactness of… read more here.
Keywords: quantum group; ideals quantum; group algebra; arens regularity ... See more keywords