Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592281 | Journal of Functional Analysis | 2007 | 48 Pages |
Abstract
Motivated by B. Tsirelson's construction of E0-semigroups of type III, we investigate a C0-semigroup acting on the space of square integrable functions of the half line whose difference from the shift semigroup is a Hilbert–Schmidt operator. We give a description of such semigroups in terms of analytic functions on the right-half plane and construct several examples.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory