Topological Radicals of Nest Algebras
G. Andreolas, M. Anoussis
TL;DR
This paper characterizes the hypocompact radical and other topological radicals of nest algebras, which are operator algebras associated with nests on Hilbert spaces, providing a detailed structural analysis.
Contribution
It provides the first comprehensive determination of the hypocompact radical and characterizes other topological radicals of nest algebras.
Findings
Hypocompact radical of AlgN determined
Other topological radicals characterized
Structural insights into nest algebra radicals
Abstract
Let N be a nest on a Hilbert space H and AlgN the corresponding nest algebra. We determine the hypocompact radical of AlgN . Other topological radicals are also characterized.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Operator Algebra Research · Holomorphic and Operator Theory