*-semigroup endomorphisms of B(H)
Lajos Molnar
math.OAarXiv:math/0005167
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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