Jordan ∗-Derivations of Standard Operator Algebras

DOI10.2307/2159889zbMath0816.47040OpenAlexW4233349086MaRDI QIDQ4286409

Peter Šemrl

Publication date: 27 April 1994

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

Full work available at URL: https://doi.org/10.2307/2159889

zbMATH Keywords

standard operator algebraadditive Jordan \(*\)-derivation

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (28)

Weak Jordan *-derivations of prime rings ⋮ Unnamed Item ⋮ Nonlinear skew Lie triple derivations between factors ⋮ Jordan *-derivation pairs and quadratic functionals on modules over *-rings ⋮ A condition for a subspace of \({\mathcal B} (H)\) to be an ideal ⋮ Jordan-von Neumann theorem for Saworotnow's generalized Hilbert space ⋮ Jordan *-derivations and quadratic functionals on octonion algebras ⋮ A note on generalized Jordan \(*\)-derivations on prime \(*\)-rings ⋮ Unnamed Item ⋮ Nonlinear generalized bi-skew Jordan \(n\)-derivations on \(*\)-algebras ⋮ Structure of generalized Jordan \(*\)-derivations on prime \(*\)-rings ⋮ Multiplicative Jordan type higher derivations of unital rings with non trivial idempotents ⋮ On the characterization of generalized \((m, n)\)-Jordan \(*\)-derivations in prime rings ⋮ Local Jordan *-derivations of standard operator algebras ⋮ Jordan \(\tau\)-derivations of locally matrix rings. ⋮ Spectrum and local spectrum preservers of skew Lie products of matrices ⋮ Multiplicatively pseudo spectrum-preserving maps ⋮ Recent progress on local spectrum-preserving maps ⋮ Multiplicative ∗-Jordan type higher derivations on von Neumann algebras ⋮ On n^th power ∗-property in ∗-rings with applications ⋮ Unnamed Item ⋮ Multiplicative ∗-lie triple higher derivations of standard operator algebras ⋮ A characterization of \(*\)-automorphism on \({\mathcal B}(H)\) ⋮ New class of operators where the distance between the identity operator and the generalized Jordan \(\ast\)-derivation range is maximal ⋮ Maps preserving product \(XY -YX^*\) on factor von Neumann algebras ⋮ On maps preserving zeros of the polynomial \(xy - yx^\ast\) ⋮ On the structure of generalized Jordan *-derivations of prime rings ⋮ Jordan isomorphisms of nest algebras

This page was built for publication: Jordan ∗-Derivations of Standard Operator Algebras