On unitary equivalence of compact operator tuples  

作　　者：Wei He Rongwei Yang 

机构地区：[1]School of Mathematics,Southeast University,Nanjing 211189,China [2]Department of Mathematics and Statistics,State University of New York at Albany,Albany,NY 12222,USA

出　　处：《Science China Mathematics》2023年第3期571-580,共10页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.11671078)。

摘　　要：For a compact operator tuple A, if its projective spectrum P(A*) is smooth, then there exists a natural Hermitian holomorphic line bundle EAover P(A*) which is a unitary invariant for A. This paper shows that under some additional spectral conditions, EAis a complete unitary invariant, i.e., EAcan determine the compact operator tuple up to unitary equivalence.

关 键 词：compact operator tuple unitary equivalence projective spectrum Hermitian holomorphic bundle 

分 类 号：O177[理学—数学]