Random sets and invariants for (type II) continuous tensor product systems of Hilbert spaces
V Liebscher - arXiv preprint math/0306365, 2003 - arxiv.org
In a series of papers Tsirelson constructed from measure types of random sets and
generalised random processes a new range of examples for continuous tensor product …
generalised random processes a new range of examples for continuous tensor product …
[图书][B] Random sets and invariants for (type II) continuous tensor product systems of Hilbert spaces
V Liebscher - 2009 - books.google.com
In a series of papers Tsirelson constructed from measure types of random sets or
(generalised) random processes a new range of examples for continuous tensor product …
(generalised) random processes a new range of examples for continuous tensor product …
Non-isomorphic product systems
B Tsirelson - arXiv preprint math/0210457, 2002 - arxiv.org
Uncountably many mutually non-isomorphic product systems (that is, continuous tensor
products of Hilbert spaces) of types II-0 and III are constructed by probabilistic means …
products of Hilbert spaces) of types II-0 and III are constructed by probabilistic means …
From random sets to continuous tensor products: answers to three questions of W. Arveson
B Tsirelson - arXiv preprint math/0001070, 2000 - arxiv.org
The set of zeros of a Brownian motion gives rise to a product system in the sense of William
Arveson (that is, a continuous tensor product system of Hilbert spaces). Replacing the …
Arveson (that is, a continuous tensor product system of Hilbert spaces). Replacing the …
Dilation theory and continuous tensor product systems of Hilbert modules
M Skeide - Quantum Probability And Infinite-Dimensional Analysis, 2003 - World Scientific
The investigation of products systems of Hilbert modules as introduced by Bhat and Skeide6
has now reached a state where it seems appropriate to give a summary of what we know …
has now reached a state where it seems appropriate to give a summary of what we know …
On relations between Urbanik and Mehler semigroups
ZJ Jurek - arXiv preprint arXiv:0811.2989, 2008 - arxiv.org
It is shown that operator-selfdecomposable measures, or more precisely their Urbanik
decomposability semigroups, induce generalized Mehler semigroups of bounded linear …
decomposability semigroups, induce generalized Mehler semigroups of bounded linear …
From slightly coloured noises to unitless product systems
B Tsirelson - arXiv preprint math/0006165, 2000 - arxiv.org
Stationary Gaussian generalized random processes having slowly decreasing spectral
densities give rise to product systems in the sense of William Arveson (basically, continuous …
densities give rise to product systems in the sense of William Arveson (basically, continuous …
[HTML][HTML] Operator semigroups in the mixed topology and the infinitesimal description of Markov processes
We define a class of not necessarily linear C 0-semigroups (P t) t≥ 0 on C b (E)(more
generally, on C κ (E):= 1 κ C b (E), for some bounded function κ, which is the pointwise limit …
generally, on C κ (E):= 1 κ C b (E), for some bounded function κ, which is the pointwise limit …
The index of (white) noises and their product systems
M Skeide - Infinite Dimensional Analysis, Quantum Probability and …, 2006 - World Scientific
Almost every paper about Arveson systems (ie product systems of Hilbert spaces) starts by
recalling their basic classification assigning to every Arveson system a type and an index …
recalling their basic classification assigning to every Arveson system a type and an index …
Tensor product systems of Hilbert modules and dilations of completely positive semigroups
BVR Bhat, M Skeide - Infinite dimensional analysis, quantum …, 2000 - World Scientific
In this paper we study the problem of dilating unital completely positive (CP) semigroups
(quantum dynamical semigroups) to weak Markov flows and then to semigroups of …
(quantum dynamical semigroups) to weak Markov flows and then to semigroups of …