Zero product preserving linear maps of CCR C\(^*\)-algebras with Hausdorff spectrum
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Publication:1036170
DOI10.1016/j.jmaa.2009.08.062zbMath1187.47029OpenAlexW2035276354MaRDI QIDQ1036170
Publication date: 5 November 2009
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.08.062
automatic continuityzero product preserverspreserver problemsCCRcontinuous fields of Banach spaces and C\(^{*}\)-algebrasseparating linear maps
Related Items (8)
Linear disjointness preservers of W\(^\ast\)-algebras ⋮ Characterization and automatic continuity of separating maps between Banach modules ⋮ Linear maps which are anti-derivable at zero ⋮ One-parameter groups of orthogonality preservers on \(C^*\)-algebras ⋮ The structure of linear zero product and commutativity preservers of \(C^*\)-algebras ⋮ Disjointness preservers of \(AW^\ast\)-algebras ⋮ Approximately order zero maps between \(\mathrm{C}^\ast \)-algebras ⋮ A linear preserver problem on maps which are triple derivable at orthogonal pairs
Cites Work
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- Automatic Continuity of Separating Linear Isomorphisms
- Zero product preservers of C*-algebras
- C ∗ -Algebras With Hausdorff Spectrum
- Ideal perturbations of elements in $C^*$-Algebras.
- Discontinuous Homomorphisms from Non-Commutative Banach Algebras
- Zero product preserving maps of operator-valued functions
- Mappings preserving zero products
- On Isomorphisms of C ∗ -Algebras
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