Can I read Isometric Dilations of Representations of Product Systems via Commutants on EtoBox?

Isometric Dilations of Representations of Product Systems via Commutants by Skeide, Michael is a scholarly article available to read on EtoBox.

What is Isometric Dilations of Representations of Product Systems via Commutants about?

We construct a weak dilation of a not necessarily unital CP-semigroup to an E-semigroup acting on the adjointable operators of a Hilbert module with a unit vector. We construct the dilation in such a way that the dilating E-semigroup has a pre-assigned product system. Then, making use of the commutant of von Neumann correspondences, we apply the dilation theorem to proof that covariant representations of product systems admit isometric dilations.

Author

Skeide, Michael

Published

2006

Language

EN