Strict Topology over the Space of Measures with Continuous Translations on a Locally Compact Foundation Semigroup

作     者：S. MAGHSOUDI R. NASR-ISFAHANI 

作者机构：Department of Mathematics Faculty of Sciences Zanjan University Zanjan 313 Iran Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156-83111 Iran 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2011年第27卷第5期

页      面：933-942页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 070104[理学-应用数学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

基　　金：Supported by the Center of Excellence for Mathematics at the Isfahan University of Technology 

主　　题：Foundation semigroup locally convex space weighted semigroup algebra strict topology 

摘      要：Let δ be a locally compact semigroup, w be a weight function on δ, and Ma （δ, ω） be the weighted semigroup algebra of δ. Let L0^∞（δ; Ma（δ, ω）） be the C＊-algebra of all Ma（δ, w）-measurable functions g on δ such that g/w vanishes at infinity. We introduce and study a strict topologyβ1 （δ, ω） on Ma（δ, ω） and show that the Banach space L0^∞（6;Ma（δ, ω） can be identified with the dual of Ma（δ, ω） endowed with 31（δ, ω）. We finally investigate some properties of the locally convex topology β^1（δ, ω） on Mo（δ, ω）. Keywords Foundation semigroup, locally convex space, weighted semigroup algebra, strict topology