Jordan *-derivation pairs and quadratic functionals on modules over *-rings

DOI10.1007/BF02755444zbMath0881.39019MaRDI QIDQ1364849

Borut Zalar

Publication date: 13 January 1998

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

Full work available at URL: https://eudml.org/doc/137692

zbMATH Keywords

representationquadratic functionalsquadratic functional equation\(C^*\)-algebrasvector spacesJordan *-derivationsderivation pairsunital modulespre-Hilbertquasi-quadratic functionalssesquilinear

Mathematics Subject Classification ID

Characterizations of Hilbert spaces (46C15) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) General theory of (C^*)-algebras (46L05) Functional equations for functions with more general domains and/or ranges (39B52) Derivations, actions of Lie algebras (16W25) General module theory in associative algebras (16D10)

Related Items (10)

Notes on Jordan \((\sigma,\tau)^*\)-derivations and Jordan triple \((\sigma,\tau)^*\)-derivations. ⋮ Jordan *-derivation pairs on a complex *-algebra ⋮ A condition for a subspace of \({\mathcal B} (H)\) to be an ideal ⋮ Jordan *-derivations and quadratic functionals on octonion algebras ⋮ On generalized Jordan triple \((\alpha,\beta)^*\)-derivations and related mappings. ⋮ A generalization of the original Jordan-von Neumann theorem ⋮ New class of operators where the distance between the identity operator and the generalized Jordan \(\ast\)-derivation range is maximal ⋮ Unnamed Item ⋮ The range of a Jordan *-derivation on an \(H^*\)-algebra ⋮ On maps preserving zeros of the polynomial \(xy - yx^\ast\)

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