正规可交换算子列相关的完全干扰点  

Completely Disturbed Points Associated to a Normal and Commuting Operator Sequence

作　　者：张海燕[1,2] 窦艳妮 ZHANG Haiyan;DOU Yanni(School of Mathematics and Statistics,Shaanxi Normal University,Xi’an,Shaanxi,710062,P.R.China;School of Mathematics and Statistics,Shangqiu Normal University,Shangqiu,476000,P.R.China)

机构地区：[1]陕西师范大学数学与统计学院,陕西西安710062 [2]商丘师范学院数学与统计学院,河南商丘476000

出　　处：《数学进展》2024年第2期381-389,共9页Advances in Mathematics（China）

基　　金：Supported by NSFC(No.12061031);the Natural Science Basic Research Plan in Shaanxi Province of China(No.2021JM-189)。

摘　　要：设A={Ek}k=1n(1≤n≤∞)是正规可交换算子列.文中首先考虑A相关的算子列的换位,给出该换位的具体表示.利用上述结果讨论完全正映射ΦA的完全干扰点,其中ΦA是由正规可交换行压缩A决定的完全正映射.Let A={Ek}n k=1(■)be an at most countable normal and commuting operator sequence.We firstly consider the commutant of an operator sequence generated by A and give an expression of the commutant.Next,by the above results,completely disturbed points of a completely positive mapA are discussed,whereA is determined by a normal commuting row contraction A.

关 键 词：换位 算子列 完全干扰点 完全正映射 

分 类 号：O177.1[理学—数学]