Compact derivations of nest algebras

Peligrad, C.

doi:10.1090/S0002-9939-1986-0845985-7

Compact derivations of nest algebras
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Proc. Amer. Math. Soc. 97 (1986), 668-672 Request permission

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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