On some ideals of nest algebras
HTML articles powered by AMS MathViewer
- by Cheng Jun Hou and De Guang Han PDF
- Proc. Amer. Math. Soc. 123 (1995), 3449-3453 Request permission
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
- Alan Hopenwasser and David Larson, The carrier space of a reflexive operator algebra, Pacific J. Math. 81 (1979), no. 2, 417–434. MR 547609, DOI 10.2140/pjm.1979.81.417
- E. C. Lance, Some properties of nest algebras, Proc. London Math. Soc. (3) 19 (1969), 45–68. MR 241990, DOI 10.1112/plms/s3-19.1.45
- David R. Larson, Nest algebras and similarity transformations, Ann. of Math. (2) 121 (1985), no. 3, 409–427. MR 794368, DOI 10.2307/1971180
- J. R. Ringrose, On some algebras of operators, Proc. London Math. Soc. (3) 15 (1965), 61–83. MR 171174, DOI 10.1112/plms/s3-15.1.61
Additional Information
- © Copyright 1995 American Mathematical Society
- 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