1) algebraically *-paranormal operator
代数*仿正规算子
1.
using spectral characteristic of algebraically *-paranormal operators,Weyl\'s theorem and hypercyclicity for algebraically *-paranormal operators were studied.
运用代数*仿正规算子的谱的特点,研究了代数*仿正规算子的Weyl定理以及超循环性。
2) M-paranormal operator
M-仿正规算子
3) log-hyponormal operators
对数-亚正规算子
4) 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。
5) the normal index
正规子数
1.
This article studies the effect the normal index of common subgroup has on the nature of its own group so as to obtain a series of solvable and super-unsolvable full-prerequisite conditions of finite group.
本文研究一般子群的正规子数对群本身性质的影响 ,由此得出一系列有限群可解和超可解的充分必要条件 。
6) 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。
补充资料：代数
代数
I
代数I川geb.;呱e6pa] l)数学的一个分支(见代数学(al罗bra》.这个词可以用来构成合成词，例如同调代数(h omologicalal罗-bra)、交换代数(commutative al罗bra)、线性代数(linear al罗bra)、多，线性代数(multilinear al邵-bra)和拓扑代数(toPOlogical al罗bra). 2)算子环(o钾rator ring)的特殊情况:域上的、体上的或交换环上的代数(有时为线性代数或向量代数).结合代数(从前称为“超复系”(hypercom口ex sys-tems)和非结合代数都是这种意义下的代数. 3)泛代数(universal al罗bra)的同义词.包括诸如公双e代数(Boolean al罗bra)、一元代数(unary al罗-bra)等这样一些代数.
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