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

Banach Center Publications (2010)

- Volume: 89, Issue: 1, page 247-263
- ISSN: 0137-6934

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topMichael Skeide. "The Powers sum of spatial CPD-semigroups and CP-semigroups." Banach Center Publications 89.1 (2010): 247-263. <http://eudml.org/doc/282511>.

@article{MichaelSkeide2010,

abstract = {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.},

author = {Michael Skeide},

journal = {Banach Center Publications},

keywords = {quantum probability; quantum dynamics; product systems; spatial; dynamics},

language = {eng},

number = {1},

pages = {247-263},

title = {The Powers sum of spatial CPD-semigroups and CP-semigroups},

url = {http://eudml.org/doc/282511},

volume = {89},

year = {2010},

}

TY - JOUR

AU - Michael Skeide

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

JO - Banach Center Publications

PY - 2010

VL - 89

IS - 1

SP - 247

EP - 263

AB - 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.

LA - eng

KW - quantum probability; quantum dynamics; product systems; spatial; dynamics

UR - http://eudml.org/doc/282511

ER -

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