Bimodules over nest algebras and Deddens’ theorem-Reference-Cited by-同舟云学术

Bimodules over nest algebras and Deddens’ theorem

Published:1999-02-11 Issue:6 Volume:127 Page:1771-1780
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Todorov I.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1999-127-06/S0002-9939-99-05115-1/S0002-9939-99-05115-1.pdf

Reference13 articles.

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4. Operators of finite rank in nest algebras;Erdos, J. A.;J. London Math. Soc.,1968

5. Reflexivity for subspace maps and linear spaces of operators;Erdos, J. A.;Proc. London Math. Soc. (3),1986

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1. Volterra-type operators on the minimal Möbius-invariant space;Canadian Mathematical Bulletin;2022-06-13

2. The Existence of Maximal w*–closed Submodules in Nest Algebra Modules;Acta Mathematica Sinica, English Series;2005-10-25

3. On Some Properties of Deddens Algebras;Rocky Mountain Journal of Mathematics;2003-09-01