Compact derivations of nest algebras
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- by C. Peligrad PDF
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Abstract:
In this paper we determine all the weakly compact derivations of a nest algebra. We also obtain necessary and sufficient conditions in order that a nest algebra admit compact derivations. Finally we prove that every compact derivation of a nest algebra $\mathcal {A}$ is the norm limit of finite-rank derivations.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 97 (1986), 668-672
- MSC: Primary 47D25; Secondary 47B05, 47B47
- DOI: https://doi.org/10.1090/S0002-9939-1986-0845985-7
- MathSciNet review: 845985