内积H-Z-空间中的酉Z-算子与正常Z-算子及其性质

Unitary Z-operator and Normal Z-operator in Inner Product H-Z-space and Their Properties

引入了内积H-Z-空间中的酉Z-算子与正常Z-算子的概念,探讨了内积H-Z-空间中酉Z-算子与正常Z-算子的性质,并将泛函分析学中希尔伯特空间有关酉算子与正常算子的性质移植到内积H-Z-空间中酉Z-算子与正常Z-算子的性质之中.

This paper introduces the unitary Z-operator and normal Z-operator concept in inner product H-Z-space,and discusses their properties.The properties of unitary operator and normal operator in Hilbert space are transplanted into the properties of unitary Z-operator and normal operator in inner product H-Z-space.