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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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