*-semigroup endomorphisms of B(H)

Lajos Molnar

*-semigroup endomorphisms of B(H)

算子代数 2007-05-23 v1

作者: Lajos Molnar

摘要

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.

关键词

c*-algebras hilbert modules topological semigroups

引用

@article{arxiv.math/0005167,
  title  = {*-semigroup endomorphisms of B(H)},
  author = {Lajos Molnar},
  journal= {arXiv preprint arXiv:math/0005167},
  year   = {2007}
}

备注

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

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