Automatic continuity of biorthogonality preservers between compact \(C^*\)-algebras and von Neumann algebras

DOI10.1016/j.jmaa.2010.11.007zbMath1216.47068OpenAlexW1988039096MaRDI QIDQ624575

Antonio M. Peralta, Jorge J. Garcés, María J. Burgos

Publication date: 9 February 2011

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.2010.11.007

zbMATH Keywords

\(C^*\)-algebravon Neumann algebraorthogonality preserverscompact \(C^*\)-algebra

Mathematics Subject Classification ID

Automatic continuity (46H40) General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (14)

Automatic continuity of orthogonality or disjointness preserving bijections ⋮ Linear orthogonality preservers between function spaces associated with commutative JB ^⋆ -triples ⋮ Linear disjointness preservers of W\(^\ast\)-algebras ⋮ Weakly compact orthogonality preservers on C\(^*\)-algebras ⋮ Bilinear maps on C*-algebras that have product property at a compact element ⋮ Orthogonality and disjointness preserving linear maps between Fourier and Fourier-Stieltjes algebras of locally compact groups ⋮ One-parameter groups of orthogonality preservers on \(C^*\)-algebras ⋮ On mappings preserving the sharp and star orders ⋮ The structure of linear zero product and commutativity preservers of \(C^*\)-algebras ⋮ Orthogonal forms and orthogonality preservers on real function algebras ⋮ Disjointness preservers of \(AW^\ast\)-algebras ⋮ Automatic continuity of \(M\)-norms on \(C^{*}\)-algebras ⋮ Contractive linear preservers of absolutely compatible pairs between \(\mathrm{C}^*\)-algebras ⋮ Nonlinear maps on von Neumann algebras preserving the star order

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