ON BANACH-STONE TYPE THEOREMS IN UNIFORM MULTIPLICATIVE SUBGROUPS OF C(K )-SPACES  

作　　者：董云柏 林培基 郑本拓 

机构地区：[1]Research Center of Nonlinear Science and School of Mathematics and Computer,Wuhan Textile University [2]Department of Mathematical Sciences, The University of Memphis

出　　处：《Acta Mathematica Scientia》2018年第6期1912-1920,共9页数学物理学报（B辑英文版）

基　　金：supported in part by the NSFC(11671314);the Foundation of Hubei Provincial Department of Education(Q20161602);supported in part by the NSF-DMS(1200370);the NSFC(11628102)

摘　　要：In this article, we study the preservation properties of （Silov） boundary of mul-tiplieative subgroups in C（X） spaces for non-surjective norm-preserving multiplieative maps.We also show a sufficient condition for surjective maps between groups of positive continuousfunctions to be a composition operator.In this article, we study the preservation properties of （Silov） boundary of mul-tiplieative subgroups in C（X） spaces for non-surjective norm-preserving multiplieative maps.We also show a sufficient condition for surjective maps between groups of positive continuousfunctions to be a composition operator.

关 键 词：Banach-Stone theorem Silov boundary composition operator 

分 类 号：O177[理学—数学]