Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Bimodules over nest algebras
and Deddens' theorem

Author: I. Todorov
Journal: Proc. Amer. Math. Soc. 127 (1999), 1771-1780
MSC (1991): Primary 47D15; Secondary 47D25
Published electronically: February 11, 1999
MathSciNet review: 1637440
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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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Additional Information

I. Todorov
Affiliation: Department of Mathematics, University of Athens, Panepistemioupolis 15784, Athens, Greece

Keywords: Bimodule, nest algebra, spectral nest, Deddens' theorem
Received by editor(s): September 16, 1997
Published electronically: February 11, 1999
Additional Notes: This work was supported by a grant of the Greek State Scholarship Foundation
Communicated by: David R. Larson
Article copyright: © Copyright 1999 American Mathematical Society