Continuity and linearity of additive derivations of nest algebras on Banach spaces

zbMath0856.47028MaRDI QIDQ1917816

De Guang Han

Publication date: 17 February 1997

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

zbMATH Keywords

continuitylinearitynest algebrasadditive derivations

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (8)

Characterizations of nonlinear Lie derivations of \(B(X)\) ⋮ Jacobson's theorem on derivations of primitive rings with nonzero socle: a proof and applications ⋮ Derivations on the algebra of operators in Hilbert \(C^*\)-modules ⋮ 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 ⋮ Characterizations of derivations of Banach space nest algebras: all-derivable points ⋮ Additive Lie (\(\xi \)-Lie) derivations and generalized Lie (\(\xi \)-Lie) derivations on nest algebras

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