The concept of difference sequence spaces have been given by M.Et.and Colak . In this paper, we defined Spaces ∆_v^r (l_∞ ) ,∆_v^r (c) and (c_0 their α- duals or Köthe – Töeplitz dual also discuss about some topological property these spaces. Further, checked perfectness properties like monotone solidness also.

Starting from elementary considerations about independence and Markov processes in classical probability we arrive at the new concept of conditional monotone independence (or operator-valued monotone independence). With the help of product systems of Hilbert modules we show that monotone conditional independence arises naturally in dilation theory. One of the most fundamental concepts in probab...

This paper concentrates on the existence of canonical cofinal maps of three types: continuous, generated by finitary monotone end-extension preserving maps, and generated by monotone finitary maps. The main theorems prove that every monotone cofinal map on an ultrafilter of a certain class of ultrafilters is actually canonical when restricted to some filter base. These theorems are then applied...

*Correspondence: [email protected] School of Science, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, China Abstract We prove quadruple fixed point theorems in partially ordered metric spaces with mixed g-monotone property. Also, we state some examples to show that our results are real generalization of known ones in quadruple fixed point theory. MSC: 46T99; 54H25; 47H10;...

We show three Hahn-Banach type extension criteria for (sets of) bounded C*-linear maps of Hilbert C*-modules to the underlying C*-algebras of coefficients. One criterion establishes an alternative description of the property of C*-algebras to be monotone complete or additively complete.

In this paper we show that the monotone difference methods with smooth numerical fluxes possess superconvergence property when applied to strictly convex conservation laws with piecewise smooth solutions. More precisely, it is shown that not only the approximation solution converges to the entropy solution, its central difference also converges to the derivative of the entropy solution away fro...

We show that strongly monotone systems of ordinary differential equations which have a certain translation-invariance property are so that all solutions converge to a unique equilibrium. The result may be seen as a dual of a well-known theorem of Mierczynski for systems that satisfy a conservation law. An application to a reaction of interest in biochemistry is provided as an illustration.

Systems Biology is quickly becoming a major focus of applied and computational mathematics research. While traditionally numerics and continuous modeling techniques have been used, in recent years it has become apparent that qualitative modeling, data quantization and data mining questions play a central role for the field. Monotone Boolean functions are ubiquitous in these models, and, surpris...

Often, monotonicity is a desirable property of probabilistic networks. For example, when medical knowledge in a particular domain dictates that more severe symptoms increase the likeliness of a more serious disease, these properties should be reflected in the network. Unfortunately, the problem to determine for a given probabilistic network whether it is monotone is known to be a highly intract...

Keywords: Monotone measure Atom Weak null-additivity Regularity Sugeno integral Choquet integral a b s t r a c t In this paper, we prove some properties of atoms of weakly null-additive monotone measures. By using the regularity and weak null-additivity, a sin-gleton characterization of atoms of monotone measures on a metric space is shown. It is a generalization of previous results obtained by...