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

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.