A quantitative version of Herstein’s theorem for Jordan ∗-isomorphisms

DOI10.1080/03081087.2015.1028169zbMath1331.39021OpenAlexW2071534985MaRDI QIDQ2789410

Aleksej Turnšek, Dijana Ilišević

Publication date: 29 February 2016

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2015.1028169

zbMATH Keywords

stability\(C^*\)-algebraJordan \(*\)-isomorphism

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Stability, separation, extension, and related topics for functional equations (39B82) General theory of functional equations and inequalities (39B05)

Related Items (2)

On the stability of some preservers ⋮ Phase-isometries on the unit sphere of \(C(K)\)

Cites Work

• Norms and CB norms of Jordan elementary operators.
• Stability of functional equations in random normed spaces
• Representations, automorphisms, and derivations of some operator algebras
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• On mappings approximately preserving orthogonality
• Functional Equations and Inequalities with Applications
• ON THE NORM OF ELEMENTARY OPERATORS
• Metric versions of Herstein's theorems on Jordan maps

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