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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
DOI: https://doi.org/10.1090/S0002-9939-1995-1285996-9
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}$.


References [Enhancements On Off] (What's this?)

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  • [3] D. R. Larson, Nest algebras and similarity transforms, Ann. of Math. (2) 121 (1985), 409-427. MR 794368 (86j:47061)
  • [4] J. R. Ringrose, On some algebras of operators, London Math. Soc. 15 (1965), 61-83. MR 0171174 (30:1405)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1995-1285996-9
Keywords: Nest algebra, ideals, Jacobson radical, Larson strong radical
Article copyright: © Copyright 1995 American Mathematical Society

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