Mathematics – Operator Algebras
Scientific paper
1999-09-09
Mathematics
Operator Algebras
13 pages. To appear in Linear Algebra Appl
Scientific paper
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.
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