Article ID Journal Published Year Pages File Type
4592281 Journal of Functional Analysis 2007 48 Pages PDF
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