Derivations of certain operator algebras

Jiankui Li and Hemant Pendharkar

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 24, 1-5

Abstract:

Let 𝒩 be a nest and let 𝒜 be a subalgebra of L ( H ) containing all rank one operators of alg 𝒩 . We give several conditions under which any derivation δ from 𝒜 into L ( H ) must be inner. The conditions include (1) H − ≠ H , (2) 0 + ≠ 0 , (3) there is a nontrivial projection in 𝒩 which is in 𝒜 , and (4) δ is norm continuous. We also give some pplications.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:787389

DOI: 10.1155/S0161171200003628

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