On maps compressing the numerical range between \(C^*\)-algebras

DOI10.22034/aot.1612-1067zbMathNoneOpenAlexW2593847371MaRDI QIDQ525313

Mohamed Mabruk, Aschwag Fahad Albideewi

Publication date: 3 May 2017

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: http://www.aot-math.org/article_43297_6b4eade500bac4d1f7c5e7db5bb95166.pdf

zbMATH Keywords

\(C^*\)-algebracompressing the numerical rangeJordan \(*\)-homomorphism

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) General theory of (C^*)-algebras (46L05) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Linear preserver problems (15A86)

Related Items (4)

Characterization of numerical radius parallelism in \(C^*\)-algebras ⋮ Maps preserving quasi-isometries on Hilbert \(C^*\)-modules ⋮ Linear maps compressing the polynomial numerical hulls of matrices ⋮ Numerical radius in Hilbert C✻-modules

Cites Work

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• Maps preserving the local spectrum of Jordan product of matrices
• On positive linear maps preserving invertibility
• Numerical radius preserving operators on \(C^*\)-algebras
• A generalized Schwarz inequality and algebraic invariants for operator algebras
• A survey on preservers of spectra and local spectra
• Maps compressing and expanding the numerical range onC^*-algebras
• Numerical range preserving operators on a Banach algebra
• Mappings preserving zero products
• Maps preserving numerical radius distance on C^*-algebras
• A survey on linear preservers of numerical ranges and radii

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