Topological radicals of nest algebras

DOI10.4064/SM8612-8-2016zbMATH Open1377.47023arXiv1608.05857OpenAlexW2963628273MaRDI QIDQ2985964

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Publication date: 10 May 2017

Published in: Studia Mathematica (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1608.05857

zbMATH Keywords

Jacobson radicalradicalnest algebracompact elementscattered radicalhypocompact radicalhypofinite radical

Mathematics Subject Classification ID

Ideals and subalgebras (46H10) Nest algebras, CSL algebras (47L35)

Related Items (2)

On the theory of topological radicals ⋮ Topological radicals, I. Basic properties, tensor products and joint quasinilpotence

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