Статья

Maps Preserving Absolute Values of Normal Functionals on von Neumann Algebras

Jan HamhalterDepartment of Mathematics, Faculty of Electrical Engineering, Czech Technical University in Prague, Prague, Czech RepublicEkaterina TurilovaLobachevskii Institute of Mathematics and Mechanics, Kazan Federal University, 420008, Kazan, Russia

Lobachevskii Journal of Mathematicsjournal2025en

ABI

Аннотация

We study linear preservers of absolute values of normal functionals on von Neumann algebras. We show that maps of this kind are implemented by a $$\ast$$ -homomorhisms and central elements of algebras.

Темы

Advanced Operator Algebra Research Advanced Topics in Algebra Algebraic structures and combinatorial models

Идентификаторы

DOI: 10.1134/s1995080225608136

Цитирования и источники

Цитирований: 0Использованных источников: 9

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