motivated by an arens regularity problem, we introduce the concepts of matrix banach space and matrix banach algebra. the notion of matrix normed space in the sense of ruan is a special case of our matrix normed system. a matrix banach algebra is a matrix banach space with a completely contractive multiplication. we study the structure of matrix banach spaces and matrix banach algebras. then we...

n this paper, we consider continuity properties(especially, regularity, also viewed as an approximation property) for $%mathcal{P}_{0}(X)$-valued set multifunctions ($X$ being a linear,topological space), in order to obtain Egoroff and Lusin type theorems forset multifunctions in the Vietoris hypertopology. Some mathematicalapplications are established and several physical implications of thema...

in this paper, we  study the arens regularity properties of module actions. we investigate some properties of topological centers of module actions ${z}^ell_{b^{**}}(a^{**})$ and  ${z}^ell_{a^{**}}(b^{**})$ with some conclusions in group algebras.

In this paper, we study residuated lattices in order to give new characterizations for dense, regular and Boolean elements in residuated lattices and investigate special residuated lattices in order to obtain new characterizations for the directly indecomposable subvariety of Stonean residuated lattices. Free algebra in varieties of Stonean residuated lattices is constructed. We introduce in re...

In this article we give a characterization of monoids for which torsion freeness, ((principal) weak, strong) flatness, equalizer flatness or Condition (E) of finitely generated and (mono) cyclic acts and Condition (P) of finitely generated and cyclic acts implies regularity. A characterization of monoids for which all (finitely generated, (mono) cyclic acts are regular will be given too. We als...

this paper focuses on the residential sector demand for electricity, natural gas and petroleum products (kerosene, gas oil and lpg) in iran in the context of a popular locally flexible functional forms - “the almost ideal demand system (aids)”. we pay explicit attention to the theoretical regularity conditions of positivity, monotonicity, and curvature. we treat the curvature property as a main...

In this note, we present a polynomial-time approximation scheme for a “dense case” of dispersion problem in weighted graphs, where weights on edges are integers from {1; : : : ; K} for some xed integer K . The algorithm is based on the algorithmic version the regularity lemma. c © 2000 Published by Elsevier Science B.V. All rights reserved.

In this paper, we introduce and consider the concept of the prox-regularity of a multifunction. We mainly study the metric subregularity of a generalized equation defined by a proximal closed multifunction between two Hilbert spaces. Using proximal analysis techniques, we provide sufficient and/or necessary conditions for such a generalized equation to have the metric subregularity in Hilbert s...

Let G be a k-partite graph with n vertices in parts such that each vertex is adjacent to at least δ∗(G) vertices in each of the other parts. Magyar and Martin [20] proved that for k = 3, if δ∗(G) ≥ 2 3 n and n is sufficiently large, then G contains a K3-factor (a spanning subgraph consisting of n vertex-disjoint copies of K3) except that G is one particular graph. Martin and Szemerédi [21] prov...

A measure-theoretic approach to the theory of dense hypergraphs Abstract In this paper we develop a measure-theoretic method to treat problems in hypergraph theory. Our central theorem is a correspondence principle between three objects: An increasing hypergraph sequence, a measurable set in an ultraproduct space and a measurable set in a finite dimensional Lebesgue space. Using this correspond...