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Bimodules over nest algebras and Deddens' theorem
Author(s):
I.
Todorov
Journal:
Proc. Amer. Math. Soc.
127
(1999),
1771-1780.
MSC (1991):
Primary 47D15;
Secondary 47D25
Posted:
February 11, 1999
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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
Email:
itodorov@atlas.uoa.gr
DOI:
10.1090/S0002-9939-99-05115-1
PII:
S 0002-9939(99)05115-1
Keywords:
Bimodule,
nest algebra,
spectral nest,
Deddens' theorem
Received by editor(s):
September 16, 1997
Posted:
February 11, 1999
Additional Notes:
This work was supported by a grant of the Greek State Scholarship Foundation
Communicated by:
David R. Larson
Copyright of article:
Copyright
1999,
American Mathematical Society
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