Characterizations of Lie derivations on Kadison-Singer algebras

DOI10.1007/S43037-023-00282-1MaRDI QIDQ6135048

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Publication date: 25 July 2023

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

derivationnest algebraLie derivationKadison-Singer algebraKadison-Singer lattice

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Nest algebras, CSL algebras (47L35) Other nonselfadjoint operator algebras (47L75)

Cites Work

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• On strong Kadison-Singer algebras
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• A new class of Kadison-Singer algebras
• Cohomology of a class of Kadison-Singer algebras
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• Some new classes of Kadison-Singer lattices in Hilbert spaces
• Lie derivations of reflexive algebras
• On generators of abelian Kadison-Singer algebras in matrix algebras
• Lie derivations of certain CSL algebras
• Lie derivations of von Neumann algebras
• Lie derivations of primitive rings
• Lie triple derivations of unital algebras with idempotents
• Kadison–Singer algebras: Hyperfinite case
• Kadison–Singer algebras, II: General case
• Triangular Operator Algebras: Fundamentals and Hyperreducible Theory
• Strongly Reflexive Lattices
• Lie Derivations of Triangular Algebras
• On Some Algebras of Operators
• Symmetric amenability and the nonexistence of Lie and Jordan derivations

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