Local derivations, automorphisms and commutativity preserving maps on \({\mathcal L}^ +({\mathcal D})\)

DOI10.2977/prims/1195166425zbMath0817.47061OpenAlexW2224515932MaRDI QIDQ1322403

Erasmus Scholz, Werner Timmermann

Publication date: 11 July 1995

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195166425

zbMATH Keywords

generalized derivationslocal derivationslocal (*-) automorphisms of *-algebraslocal generalized derivationsmaximal \(O^*_ p\)-algebra

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (7)

FUNCTIONAL IDENTITIES REVISED: THE FRACTIONAL AND THE STRONG DEGREE ⋮ Derivations, local and 2-local derivations on algebras of measurable operators ⋮ On maps preserving zero Jordan products. ⋮ On \(\varepsilon\)-derivations and local \(\varepsilon\)-derivations ⋮ Commutativity-preserving maps on Lie ideals of prime algebras. ⋮ DERIVATIONS ON ALGEBRAS OF MEASURABLE OPERATORS ⋮ Commutativity preserving mappings on semiprime rings

Cites Work

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• Spatial theory for algebras of unbounded operators
• Maximal Op\(^*\)-algebras on DF-domains
• On Completely Positive Maps in Algebras of Unbounded Operators
• Zur Struktur von Bijektionen einer Algebra, welche die Menge aller eindimensionalen Projektoren auf sich abbilden

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