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Linear disjointness preservers of operator algebras and related structures. (English) Zbl 1413.47063
The paper is a survey of some recent results on linear zero product or orthogonality preservers between \(C^*\)- and \(W^*\)-algebras, their dual or predual spaces, orthogonality preservers between Hilbert \(C^*\)-modules and Fourier algebras, and holomorphic disjointness preservers of \(C^*\)-algebras.

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