Quantum stochastic convolution cocycles II [PDF]
Schurmann's theory of quantum Levy processes, and more generally the theory of quantum stochastic convolution cocycles, is extended to the topological context of compact quantum groups and operator space coalgebras.
Skalski, Adam G., Lindsay, J. Martin
core +4 more sources
Compact and Weakly Compact Composition Operators on BMOA [PDF]
We show that a composition operator induced by an analytic self-map of the unit disc in the complex plane is weakly compact on the space BMOA precisely when the operator is compact on BMOA. As a crucial step we simplify the compactness criterion due to Smith for composition operators on BMOA and show that his condition on the Nevanlinna counting ...
Saksman Eero +3 more
openaire +2 more sources
Fuzzy Convergence Sequence and Fuzzy Compact Operators on Standard Fuzzy Normed Spaces
The main purpose of this work is to introduce some types of fuzzy convergence sequences of operators defined on a standard fuzzy normed space (SFN-spaces) and investigate some properties and relationships between these concepts.
Raghad I. Sabri
doaj +1 more source
Lipschitz integral operators represented by vector measures
In this paper we introduce the concept of Lipschitz Pietsch-p-integral mappings, (1≤p≤∞), between a metric space and a Banach space. We represent these mappings by an integral with respect to a vector measure defined on a suitable compact Hausdorff ...
Elhadj Dahia, Khaled Hamidi
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Stability of three-layer differential-difference schemes with weights in the space of summable functions with supports in a network-like domain [PDF]
The work is a natural continuation of the authors' earlier studies in the analysis of the conditions for the weak solvability of one-dimensional initial-boundary value problems with a space variable changing on a graph (network) in the direction of ...
Hoang, Van Nguyen +1 more
doaj +1 more source
Some characterizations of weakly compact operator on Banach lattices [PDF]
summary:We establish necessary and sufficient conditions under which each operator between Banach lattices is weakly compact and we give some ...
Aqzzouz, Belmesnaoui, Bouras, Khalid
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Analysis of a High-Accuracy Numerical Method for Time-Fractional Integro-Differential Equations
A high-order finite difference numerical scheme based on the compact difference operator is proposed in this paper for time-fractional partial integro-differential equations with a weakly singular kernel, where the time-fractional derivative term is ...
Ziyang Luo, Xindong Zhang, Leilei Wei
doaj +1 more source
Weak Compactness of Almost Limited Operators
This paper is devoted to the relationship between almost limited operators and weakly compact operators. We show that if F is a σ-Dedekind complete Banach lattice, then every almost limited operator T:E→F is weakly compact if and only if E is reflexive ...
Aziz Elbour +2 more
doaj +1 more source
Invariant Finitely Additive Measures for General Markov Chains and the Doeblin Condition
In this paper, we consider general Markov chains with discrete time in an arbitrary measurable (phase) space. Markov chains are given by a classical transition function that generates a pair of conjugate linear Markov operators in a Banach space of ...
Alexander Zhdanok
doaj +1 more source
Application of ${\rm (L)$ sets to some classes of operators} [PDF]
The paper contains some applications of the notion of $L$ sets to several classes of operators on Banach lattices. In particular, we introduce and study the class of order ${\rm (L)$-Dunford-Pettis operators, that is, operators from a Banach space into a
Kamal El Fahri +3 more
doaj +1 more source

