Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591701 | Journal of Functional Analysis | 2008 | 21 Pages |
Abstract
We prove a semigroup analogue of the Kadison Transitivity Theorem for C∗-algebras. Specifically, we show that a closed, homogeneous, self-adjoint, topologically transitive, semigroup of operators acting on a separable Hilbert space is (strictly) transitive if the semigroup contains a non-zero compact operator. Additional structural information about such semigroups is obtained, and examples are provided to demonstrate that the theorem is the best possible in the semigroup case.
Related Topics
Physical Sciences and Engineering
Mathematics
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