The strong degree of von Neumann algebras and the structure of Lie and Jordan derivations

DOI10.1017/S0305004104007789zbMath1075.46046OpenAlexW2050772848MaRDI QIDQ4824775

Matej Brešar, Jerónimo Alaminos, Armando R. Villena

Publication date: 1 November 2004

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004104007789

zbMATH Keywords

von Neumann algebraLie derivationJordan derivationfunctional identitystrong degree

Mathematics Subject Classification ID

Automatic continuity (46H40) Commutators, derivations, elementary operators, etc. (47B47) General theory of (C^*)-algebras (46L05) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items (11)

Zero Lie product determined Banach algebras. II. ⋮ Automatic continuity of derivations on \(C^\ast\)-algebras and \(JB^\ast\)-triples ⋮ Functional identities and their applications ⋮ Generalized Lie derivations on skew elements of prime algebras with involution. ⋮ Functional identities of degree 2 in rings with idempotents ⋮ Lie derivation and Hochschild cohomology of an extension of path algebras ⋮ Jordan derivations and Lie derivations on path algebras ⋮ Linear mappings derivable at some nontrivial elements ⋮ On generalized Lie derivations of Lie ideals of prime algebras. ⋮ Characterizations of Jordan derivations and Jordan homomorphisms ⋮ On the Multiplication Ring of a Prime Ring

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