Linear disjointness preservers of operator algebras and related structures

DOI10.14232/actasm-018-267-7zbMath1413.47063OpenAlexW2810420144MaRDI QIDQ3176673

Chun-Yen Chou, Jung-Hiu Liu, Ngai-Ching Wong, Ching-Jou Liao

Publication date: 23 July 2018

Published in: Acta Scientiarum Mathematicarum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/actasm-018-267-7

zbMATH Keywords

Hilbert \(C^*\)-modulesorthogonality preserversJordan homomorphismszero product preserversFourier algebrasholomorphic maps of \(C^*\)-algebras

Mathematics Subject Classification ID

Automatic continuity (46H40) General theory of (C^*)-algebras (46L05) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (16)

Absolutely compatible pairs in a von Neumann algebra ⋮ Structure of preservers of range orthogonality on *-rings and \(C^\ast \)-algebras ⋮ Nonlinear disjointness/supplement preservers of nonnegative continuous functions ⋮ Linear maps preserving matrices annihilated by a fixed polynomial ⋮ Preservation of order and orthogonality on preduals of Jordan algebras ⋮ Linear maps which are anti-derivable at zero ⋮ One-parameter groups of orthogonality preservers on \(C^*\)-algebras ⋮ Additive Hermitian idempotent preservers between operator algebras ⋮ The structure of linear zero product and commutativity preservers of \(C^*\)-algebras ⋮ Star order and partial isometries in \(C^\ast\)-algebras ⋮ Disjointness preservers of \(AW^\ast\)-algebras ⋮ Complete orthogonality preservers between \(C^ \ast \)-algebras ⋮ Approximately order zero maps between \(\mathrm{C}^\ast \)-algebras ⋮ A linear preserver problem on maps which are triple derivable at orthogonal pairs ⋮ Contractive linear preservers of absolutely compatible pairs between \(\mathrm{C}^*\)-algebras ⋮ Continuous preservers of range orthogonality between \(C^\ast \)-algebras

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