Derivations and isomorphisms of certain reflexive operator algebras

DOI10.1007/BF02563890zbMath0914.47043MaRDI QIDQ4391501

Cheng Jun Hou, De Guang Han

Publication date: 23 June 1999

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

zbMATH Keywords

nest algebrasCDS algebraderivation of completely distributive subspace lattice algebras

Mathematics Subject Classification ID

Automatic continuity (46H40) Abstract operator algebras on Hilbert spaces (47L30) Commutators, derivations, elementary operators, etc. (47B47) Linear spaces of operators (47L05)

Related Items

Characterizing Jordan \(n\)-derivations of unital rings containing idempotents ⋮ Lie isomorphisms of nest algebras on Banach spaces ⋮ Additive Jordan isomorphisms of nest algebras on normed spaces ⋮ Additive maps derivable or Jordan derivable at zero point on nest algebras ⋮ Characterizations of derivations of Banach space nest algebras: all-derivable points ⋮ Elementary maps on nest algebras ⋮ Ternary derivations of nest algebras ⋮ Additive Lie (\(\xi \)-Lie) derivations and generalized Lie (\(\xi \)-Lie) derivations on nest algebras

Cites Work

• Reflexive algebras with finite width lattices: Tensor products, cohomology, compact perturbations
• Derivations of nest algebras
• Continuity and linearity of additive derivations of nest algebras on Banach spaces
• The First Cohomology Groups of Nest Algebras on Normed Spaces
• Algebraic Isomorphisms Between Ordered Bases
• Super-Diagonal Forms for Compact Linear Operators
• Approximants, Commutants and Double Commutants in Normed Algebras
• Cohomology and Perturbations of Nest Algebras
• Additive Derivations of Nest Algebras
• On Some Algebras of Operators
• On Some Algebras of Operators. II
• Continuity of Derivations and a Problem of Kaplansky