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Displaying 701 – 720 of 1491

Markovian processes on mutually commuting von Neumann algebras

Carlo Cecchini (1998)

Banach Center Publications

The aim of this paper is to study markovianity for states on von Neumann algebras generated by the union of (not necessarily commutative) von Neumann subagebras which commute with each other. This study has been already begun in [2] using several a priori different notions of noncommutative markovianity. In this paper we assume to deal with the particular case of states which define odd stochastic couplings (as developed in [3]) for all couples of von Neumann algebras involved. In this situation...

Martin boundary theory of some quantum random walks

Benoît Collins (2004)

Annales de l'I.H.P. Probabilités et statistiques

Martingale convergence theorems in $J W$ -algebras.

Karimov, Abdusalom, Mukhamedov, Farrukh (2010)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

Martingales in Banach *-algebras.

Richard A. Alò (1975)

Journal für die reine und angewandte Mathematik

Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs

Ilwoo Cho, Palle E. T. Jorgensen (2015)

Special Matrices

In this paper, we study groupoid actions acting on arithmetic functions. In particular, we are interested in the cases where groupoids are generated by directed graphs. By defining an injective map α from the graph groupoid G of a directed graph G to the algebra A of all arithmetic functions, we establish a corresponding subalgebra AG = C*[α(G)]︀ of A. We construct a suitable representation of AG, determined both by G and by an arbitrarily fixed prime p. And then based on this representation, we...

Matrices of positive polynomials.

Handelman, David (2009)

ELA. The Electronic Journal of Linear Algebra [electronic only]

Matsumoto $K$ -groups associated to certain shift spaces.

Carlsen, Toke Meier, Eilers, Søren (2004)

Documenta Mathematica

Maximal violation of Bell's inequalities for algebras of observables in tangent spacetime regions

Stephen J. Summers, Reinhard Werner (1988)

Annales de l'I.H.P. Physique théorique

Maximality of dual coactions on sectional C*-algebras of Fell bundles and applications

Alcides Buss, Siegfried Echterhoff (2015)

Studia Mathematica

We give a simple proof of the maximality of dual coactions on full cross-sectional C*-algebras of Fell bundles over locally compact groups. This result was only known for discrete groups or for saturated (separable) Fell bundles over locally compact groups. Our proof, which is derived as an application of the theory of universal generalised fixed-point algebras for weakly proper actions, is different from these previously known cases and works for general Fell bundles over locally compact groups....

M-complete approximate identities in operator spaces

A. Arias, H. Rosenthal (2000)

Studia Mathematica

This work introduces the concept of an M-complete approximate identity (M-cai) for a given operator subspace X of an operator space Y. M-cai’s generalize central approximate identities in ideals in C*-algebras, for it is proved that if X admits an M-cai in Y, then X is a complete M-ideal in Y. It is proved, using ’special’ M-cai’s, that if J is a nuclear ideal in a C*-algebra A, then J is completely complemented in Y for any (isomorphically) locally reflexive operator space Y with J ⊂ Y ⊂ A and...

Means and convex combinations of unitary operators.

Gert K. Pedersen, Richard V. Kadison (1985)

Mathematica Scandinavica

Measurable bundles of $C^{*}$ -algebras.

Ganiev, I.G., Chilin, V.I. (2003)

Vladikavkazskiĭ Matematicheskiĭ Zhurnal

Measure theory in noncommutative spaces.

Lord, Steven, Sukochev, Fedor (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Measures on orthomodular vector space lattices

Hans Keller (1988)

Studia Mathematica

Mesures de Haar et $W^{*}$ -couple d’un groupoïde mesuré

Manuel Samuelides (1978)

Bulletin de la Société Mathématique de France

Methods of differentiation in topological A-Modules

Maria H. Papatriandafillou (1986)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

Metric enrichment, finite generation, and the path coreflection

Alexandru Chirvasitu (2024)

Archivum Mathematicum

We prove a number of results involving categories enriched over CMet, the category of complete metric spaces with possibly infinite distances. The category CPMet of path complete metric spaces is locally $ℵ_{1}$ -presentable, closed monoidal, and coreflective in CMet. We also prove that the category CCMet of convex complete metric spaces is not closed monoidal and characterize the isometry- $ℵ_{0}$ -generated objects in CMet, CPMet and CCMet, answering questions by Di Liberti and Rosický. Other results include...

Metric Entropy of Homogeneous Spaces

Stanisław Szarek (1998)

Banach Center Publications

For a precompact subset K of a metric space and ε > 0, the covering number N(K,ε) is defined as the smallest number of balls of radius ε whose union covers K. Knowledge of the metric entropy, i.e., the asymptotic behaviour of covering numbers for (families of) metric spaces is important in many areas of mathematics (geometry, functional analysis, probability, coding theory, to name a few). In this paper we give asymptotically correct estimates for covering numbers for a large class of homogeneous...

Metrics in the sphere of a C*-module

Esteban Andruchow, Alejandro Varela (2007)

Open Mathematics

Given a unital C*-algebra $𝒜$ and a right C*-module $𝒳$ over $𝒜$ , we consider the problem of finding short smooth curves in the sphere $𝒮_{𝒳}$ = x ∈ $𝒳$ : 〈x, x〉 = 1. Curves in $𝒮_{𝒳}$ are measured considering the Finsler metric which consists of the norm of $𝒳$ at each tangent space of $𝒮_{𝒳}$ . The initial value problem is solved, for the case when $𝒜$ is a von Neumann algebra and $𝒳$ is selfdual: for any element x 0 ∈ $𝒮_{𝒳}$ and any tangent vector ν at x 0, there exists a curve γ(t) = e tZ(x 0), Z ∈ $ℒ_{𝒜} (𝒳)$ , Z* = −Z and ∥Z∥ ≤ π, such...

Metrics on state spaces.

Rieffel, Marc A. (1999)

Documenta Mathematica

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