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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On some ideals of nest algebras


Authors: Cheng Jun Hou and De Guang Han
Journal: Proc. Amer. Math. Soc. 123 (1995), 3449-3453
MSC: Primary 47D25
MathSciNet review: 1285996
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Abstract: The purpose of this paper is to characterize the relations of some ideals of a nest algebra such as the Jacobson radical $ {R_\mathcal{N}}$, Larson strong radical $ R_\mathcal{N}^\infty $, and ideal $ \mathcal{G}$, and to describe all the ideals between $ {R_\mathcal{N}}$ and $ \mathcal{G}$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1285996-9
PII: S 0002-9939(1995)1285996-9
Keywords: Nest algebra, ideals, Jacobson radical, Larson strong radical
Article copyright: © Copyright 1995 American Mathematical Society