Two characterisations of additive *-automorphisms of B(H)

DOI10.1017/S0004972700017147zbMath0879.46030OpenAlexW2025015507MaRDI QIDQ4350820

Lajos Molnár

Publication date: 4 September 1997

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700017147

zbMATH Keywords

preserver problems*-automorphismadditive bijection

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (12)

Additive mappings on \(C^*\)-algebras sub-preserving absolute values of products ⋮ Maps preserving \(A^*A+AA^*\) on \(C^*\)-algebras ⋮ Additive mappings on von Neumann algebras preserving absolute values ⋮ Maps preserving Jordan triple product on the self-adjoint elements of C∗-algebras ⋮ Automatic continuity of biorthogonality preservers between compact \(C^*\)-algebras and von Neumann algebras ⋮ Mappings on C*-algebras preserving the sum of absolute values ⋮ Additive mappings on operator algebras preserving absolute values ⋮ Linear rank and corank preserving maps on \({\mathcal B}(H)\) and an application to \(^*\)-semigroup isomorphisms of operator ideals ⋮ Contractive linear preservers of absolutely compatible pairs between \(\mathrm{C}^*\)-algebras ⋮ On operators preserving James' orthogonality ⋮ Linear maps and additive maps that preserve operators annihilated by a polynomial ⋮ Additive mappings onC*-algebras preserving absolute values

Cites Work

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• Spectrum-preserving additive maps
• Linear preserver problems: A brief introduction and some special techniques
• Linear preservers on powers of matrices
• Additive mappings preserving operators of rank one
• Jordan Homomorphisms
• Ring Isomorphisms of Banach Algebras

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