Completely positive maps on Coxeter groups and the ultracontractivity of the q-Ornstein-Uhlenbeck semigroup

Marek Bożejko

Displaying similar documents to “Completely positive maps on Coxeter groups and the ultracontractivity of the q-Ornstein-Uhlenbeck semigroup”

$E_{0}$ -semigroups for continuous product systems: the nonunital case.

Skeide, Michael (2009)

Banach Journal of Mathematical Analysis [electronic only]

Similarity:

On positive Rockland operators

Pascal Auscher, A. ter Elst, Derek Robinson (1994)

Colloquium Mathematicae

Similarity:

Let G be a homogeneous Lie group with a left Haar measure dg and L the action of G as left translations on $L_{p} (G; d g)$ . Further, let H = dL(C) denote a homogeneous operator associated with L. If H is positive and hypoelliptic on $L_{2}$ we prove that it is closed on each of the $L_{p}$ -spaces, p ∈ 〈 1,∞〉, and that it generates a semigroup S with a smooth kernel K which, with its derivatives, satisfies Gaussian bounds. The semigroup is holomorphic in the open right half-plane on all the $L_{p}$ -spaces, p ∈ [1,∞]....

Small time asymptotics of Ornstein-Uhlenbeck densities in Hilbert spaces.

Jegaraj, Terence (2009)

Electronic Communications in Probability [electronic only]

Similarity:

Quantum Itô B*-algebras, their classification and decomposition

V. Belavkin (1998)

Banach Center Publications

Similarity:

A simple axiomatic characterization of the general (infinite dimensional, noncommutative) Itô algebra is given and a pseudo-Euclidean fundamental representation for such algebra is described. The notion of Itô B*-algebra, generalizing the C*-algebra, is defined to include the Banach infinite dimensional Itô algebras of quantum Brownian and quantum Lévy motion, and the B*-algebras of vacuum and thermal quantum noise are characterized. It is proved that every Itô algebra is canonically...

Non tangential convergence for the Ornstein-Uhlenbeck semigroup.

Pineda, Ebner, Urbina R., Wilfredo (2008)

Divulgaciones Matemáticas

Similarity:

Properties of an abstract pseudoresolvent and well-posedness of the degenerate Cauchy problem

Irina Melnikova (1996)

Banach Center Publications

Similarity:

The degenerate Cauchy problem in a Banach space is studied on the basis of properties of an abstract analytical function, satisfying the Hilbert identity, and a related pair of operators A, B.

The closure of the invertibles in a von Neumann algebra

Laura Burlando, Robin Harte (1996)

Colloquium Mathematicae

Similarity:

In this paper we consider a subset Â of a Banach algebra A (containing all elements of A which have a generalized inverse) and characterize membership in the closure of the invertibles for the elements of Â. Thus our result yields a characterization of the closure of the invertible group for all those Banach algebras A which satisfy Â = A. In particular, we prove that Â = A when A is a von Neumann algebra. We also derive from our characterization new proofs of previously known results,...

The variational approach to the Dirichlet problem in C*-algebras

Fabio Cipriani (1998)

Banach Center Publications

Similarity:

The aim of this work is to develop the variational approach to the Dirichlet problem for generators of sub-Markovian semigroups on C*-algebras. KMS symmetry and the KMS condition allow the introduction of the notion of weak solution of the Dirichlet problem. We will then show that a unique weak solution always exists and that a generalized maximum principle holds true.

$L_{\infty}$ -Khintchine-Bonami inequality in free probability

Artur Buchholz (1998)

Banach Center Publications

Similarity:

We prove the norm estimates for operator-valued functions on free groups supported on the words with fixed length ( $f = \sum_{| w | = l} a_{w} \otimes λ (w)$ ). Next, we replace the translations by the free generators with a free family of operators and prove inequalities of the same type.

DISTRIBUTION GROUPS

Marko Kostić (2009)

Publications de l'Institut Mathématique

Similarity: