*-semigroup endomorphisms of B(H)

2000/05/17 by Lajos Molnar, Molnar, Lajos
Mathematics · #FOS: Mathematics #Operator Algebras (math.OA) #math.OA

paper · pdf · doi:10.48550/arxiv.math/0005167

7 pages. To appear in the Proceedings of the Memorial Conference for Bela Szokefalvi-Nagy, 1999, Szeged, Hungary

arxiv created 2000/05/17 · arxiv updated 2009/11/30

Abstract

Let H be a complex infinite dimensional Hilbert space. We describe the form of all *-semigroup endomorphisms ϕ of B(H) which are uniformly continuous on every commutative C*-subalgebra. In particular, we obtain that if ϕ satisfies ϕ(0)=0, then ϕ is additive.

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