A perturbation problem for the shift semigroup
Operator Algebras
2007-05-23 v1 Functional Analysis
Abstract
Motivated by B. Tsirelson's construction of -semigroups of type III, we investigate a -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.
Cite
@article{arxiv.math/0702439,
title = {A perturbation problem for the shift semigroup},
author = {Masaki Izumi},
journal= {arXiv preprint arXiv:math/0702439},
year = {2007}
}