Jordan *-derivation pairs on a complex *-algebra

DOI10.1007/BF02755445zbMath0887.16021OpenAlexW4250134262MaRDI QIDQ1364850

Lajos Molnár

Publication date: 25 May 1998

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137693

zbMATH Keywords

rings with involutionsdouble centralizerscomplex algebrasJordan *-derivation pairs

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Functional equations for functions with more general domains and/or ranges (39B52) Derivations, actions of Lie algebras (16W25)

Related Items (8)

Wigner’s theorem in a class of Hilbert C*-modules ⋮ On the stability of Jordan \(\ast\)-derivation pairs ⋮ Nonlinear generalized bi-skew Jordan \(n\)-derivations on \(*\)-algebras ⋮ Spectrum and local spectrum preservers of skew Lie products of matrices ⋮ Recent progress on local spectrum-preserving maps ⋮ Multiplicative ∗-Jordan type higher derivations on von Neumann algebras ⋮ Multiplicative *-Lie type higher derivations of standard operator algebras ⋮ Multiplicative ∗-lie triple higher derivations of standard operator algebras

Cites Work

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• On some additive mappings in rings with involution
• Jordan *-derivation pairs and quadratic functionals on modules over *-rings
• On quadratic and sesquilinear functionals
• Jordan-von Neumann theorem for Saworotnow's generalized Hilbert space
• On quadratic functionals
• On Jordan *-derivations and an application
• On the structure of Jordan *-derivations
• Quadratic and Quasi-Quadratic Functionals
• Jordan *-derivations and quadratic functionals on octonion algebras
• Continuity of Derivations and a Problem of Kaplansky

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