Additive Derivations of Nest Algebras
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Publication:4292220
DOI10.2307/2159979zbMath0810.47040OpenAlexW3141822353MaRDI QIDQ4292220
Publication date: 1 June 1994
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2159979
every additive derivation of a nest algebra acting on an infinite- dimensional Hilbert space is innerlinear derivations of nest algebras
Abstract operator algebras on Hilbert spaces (47L30) Commutators, derivations, elementary operators, etc. (47B47) Linear spaces of operators (47L05)
Related Items (9)
Characterizing Jordan \(n\)-derivations of unital rings containing idempotents ⋮ Characterizing centralizers and generalized derivations on triangular algebras by acting on zero product ⋮ Lie isomorphisms of nest algebras on Banach spaces ⋮ Nonlinear \(\ast\)-Lie derivations on factor von Neumann algebras ⋮ Derivations and isomorphisms of certain reflexive operator algebras ⋮ Nonlinear Lie derivations of triangular algebras. ⋮ Additive maps derivable or Jordan derivable at zero point on nest algebras ⋮ Additive Lie (\(\xi \)-Lie) derivations and generalized Lie (\(\xi \)-Lie) derivations on nest algebras ⋮ Multiplicative mappings of operator algebras
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