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Linear Maps Preserving Idempotents on Nest Subalgebras of Factor von Neumann Algebras

Aili Yang


In this paper, it is proved that every weakly continuous linear mapping preserving identity and idempotents on nest subalgebras with non-trivial nests of any factor von Neumann algebra is a Jordan homomorphism.


linear preserver; nest subalgebra; von Neumann algebra

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