K_0-group and similarity of operator weighted shifts  

作　　者：LIJueXian 

机构地区：[1]SchoolofMathematics,LiaoningUniversity,Shenyang110036,China

出　　处：《Science China Mathematics》2012年第7期1441-1448,共8页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No.10971079);Liaoning Province Education Department (Grant No. L2011001)

摘　　要：By using simultaneous triangularization technique, similarity for operator weighted shifts with finite multiplicity is characterized in terms of K0-group of commutant algebra. The result supports the conjecture posed by Cao et al. in 1999. Moreover, we discuss the relations between similarity and quasi-similarity for operator weighted shifts.By using simultaneous triangularization technique, similarity for operator weighted shifts with finite multiplicity is characterized in terms of K0-group of commutant algebra. The result supports the conjecture posed by Cao et al. in 1999. Moreover, we discuss the relations between similarity and quasi-similarity for operator weighted shifts.

关 键 词：operator weighted shift strongly irreducible operator K0-group Lie algebra 

分 类 号：O177.1[理学—数学] TV133[理学—基础数学]