An Operator Arzelà-Ascoli Theorem  

作　　者：Wei WU 

机构地区：[1]Department of Mathematics, East China Normal University, Shanghai 200241, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2008年第7期1139-1154,共16页数学学报（英文版）

基　　金：the Shanghai Leading Academic Discipline Project (Project No. B407);the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry;the National Natural Science Foundation of China (Grant No.10671068)

摘　　要：The author generalizes the Arzela-Ascoli theorem to the setting of matrix order unit spaces, extending the work of Antonescu-Christensen on unital C^＊-algebras. This gives an affirmative answer to a question of Antonescu and Christensen.The author generalizes the Arzela-Ascoli theorem to the setting of matrix order unit spaces, extending the work of Antonescu-Christensen on unital C^＊-algebras. This gives an affirmative answer to a question of Antonescu and Christensen.

关 键 词：matrix order unit space matrix metric set EQUICONTINUITY relative compactness 

分 类 号：O17[理学—数学]