σ-Weakly Closed Modules of Certain Reflexive Operator Algebras
Copyright policy )σ-Weakly Closed Modules of Certain Reflexive Operator Algebras
Summary: Let \(\mathcal A\) be a completely distributive CSL algebra and let \(M\) be any \(\sigma\)-weakly closed \(\mathcal A\)-module. We give characterizations of commutant \(C({\mathcal A}, M)\) of \(\mathcal A\) modulo \(M\) and \(\text{AlgLat }M\). Furthermore, we deal with the relations among \(\mathcal A\), \(C({\mathcal A}, M)\) and \(\text{AlgLat }M\).
\(\mathcal A\)-module, Abstract operator algebras on Hilbert spaces, completely distributive CSL algebra, reflexive operator algebra, Commutators, derivations, elementary operators, etc., Linear spaces of operators
\(\mathcal A\)-module, Abstract operator algebras on Hilbert spaces, completely distributive CSL algebra, reflexive operator algebra, Commutators, derivations, elementary operators, etc., Linear spaces of operators
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