Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Compact derivations of nest algebras


Author: C. Peligrad
Journal: Proc. Amer. Math. Soc. 97 (1986), 668-672
MSC: Primary 47D25; Secondary 47B05, 47B47
MathSciNet review: 845985
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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.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0845985-7
Keywords: Nest algebra, weakly compact derivation, compact derivation
Article copyright: © Copyright 1986 American Mathematical Society