Bimodules over nest algebras and Deddens’ theorem

Todorov, I.

doi:10.1090/S0002-9939-99-05115-1

Bimodules over nest algebras and Deddens’ theorem
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Proc. Amer. Math. Soc. 127 (1999), 1771-1780 Request permission

Abstract:

We generalize Deddens’ theorem for nest algebras in the case of w*-closed nest algebras bimodules. For each such bimodule, we introduce a norm closed sub-bimodule of it, which corresponds to the radical of a nest algebra and describe it in a number of ways, generalizing known facts about nest algebras.

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