1) quasi-normal operator
拟正规算子
2) normal operator
正规算子
1.
The concept of a special normal operator, self-conjugate operator, in Hilbert space was extended to a polynomial conjugate operator.
将Hilbert空间上特殊的正规算子———自共轭算子的概念推广到多项式共轭算子。
2.
The properties of the operator and the necessary and sufficient conditions for the regular value to exist were studied using the concept and properties of normal operators in Hilbert space, the spectrum mapping principle and analogy.
应用希尔伯特空间上正规算子的概念、性质、谱映射定理和类推的方法,研究了该类算子的性质及正则值存在的充要条件。
3.
The properties of the polynomial conjugate operator and the necessary and sufficient conditions for the regular valve to exist are studied by using spectral decomposition and properties of normal operator in Hilbert space.
应用希尔伯特空间上正规算子的概念,性质和谱分解定理,研究了多项式共轭算子的性质及正则值存在的充要条件。
4) Quasinormal operators
拟正常算子
5) hyponormal operator
亚正规算子
1.
An upper bound is obtained for the distance between two hyponormal operators in terms of the distance between their spectra.
利用算子的谱给出两个亚正规算子间距离上限的刻画,并对亚正规算子A,得出inf‖A-λI‖=‖A‖λ∈C当且仅当∩ U(x,‖A‖)={0} x∈σ(A),其中U(x,‖A‖)={z∈C;|z-x|≤‖A‖}。
2.
Firstly,The relation between the quasi-normal and hyponormal operators is investigated.
讨论算子的拟正规性与亚正规性的关系,并以单侧加权移位算子为例证明了并非所有的亚正规算子是拟正规的。
6) subnormal operator
次正规算子
1.
It has been proved that the commutants of subnormal operators with unitary extensionshave liftings, and a projection in the commutant can be lifted to a projection (the projection may beorthogonal or skewing).
证明了具有极小酉扩张的次正规算子之换位具有提升，且投影算子可以提升为投影（其中投影算子可以是正交投影，也可以是斜投影）。
补充资料：拟正
1.试任或代理官员改为正式任命。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条