The Powers sum of spatial CPD-semigroups and CP-semigroups

• Autorzy: Michael Skeide
• Języki publikacji: EN

Abstrakty

EN

We define spatial CPD-semigroups and construct their Powers sum. We construct the Powers sum for general spatial CP-semigroups. In both cases, we show that the product system of that Powers sum is the product of the spatial product systems of its factors. We show that on the domain of intersection, pointwise bounded CPD-semigroups on the one side and Schur CP-semigroups on the other, the constructions coincide. This summarizes all known results about Powers sums and generalizes them considerably.

Kategorie tematyczne

• 46L53: Noncommutative probability and statistics
• 46L08: C * -modules
• 46L55: Noncommutative dynamical systems
• 60J25: Continuous-time Markov processes on general state spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2010
• Tom: 89
• Numer: 1
• Strony: 247-263

Daty

wydano

2010

Twórcy

autor

Michael Skeide

• Dipartimento S.E.G.e S., Università degli Studi del Molise, Via de Sanctis, 86100 Campobasso, Italy

Identyfikatory

DOI

10.4064/bc89-0-17