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

arXiv Mathematics eprints
 Pub Date:
 May 2000
 arXiv:
 arXiv:math/0005167
 Bibcode:
 2000math......5167M
 Keywords:

 Mathematics  Operator Algebras
 EPrint:
 7 pages. To appear in the Proceedings of the Memorial Conference for Bela SzokefalviNagy, 1999, Szeged, Hungary