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Some multiplicative preservers on $BH)$

Year: 1999
Type: preprint
Abstract: In this paper we describe the form of those continuous multiplicative maps on B(H) (H being a separable complex Hilbert space of dimension not less than 3) which preserve the rank, or the corank. Furthermore, we characterize those continuous *-semigroup endomorphisms of B(H) which are spectrum non-increasing.
Language: English
Open Access status: green
OpenAlex ID: W2951933495
Cites: 9
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Related to: 20