基本解释：半正规算子
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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。
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。
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。
In this paper, turning nlrmal subgroups to normal subsemigroups, we will give the similas concepts and discuss their relations in detial.本文从正规子半群出发，建立了与商群、同余关系等相对应的各种概念，得到了类似的结果。
With the proper congruence of Brandt semigroups B=B(G,I),the paper researches on the normal subsemigroups and endomorphisms of B(G,I),and describes all normal subsemigroups and endomorphisms of Brandt semigroups B(G,I).该文从Brandt半群B=B(G,I)的真同余出发,研究了B(G,I)的正规子半群与自同态,进而刻划出Brandt半群上所有的正规子半群与所有的自同态。
The quasicongruence relation < is defined by the normal subsemigroup M of a group G.利用群 G的正规子半群 M在 G上定义了一个拟同余关系 <,然后讨论了拟同余关系的扩张和收缩 ,得到了 M的延拓概念及相关性质 。
To introduce the definition of normal subsemigroup of a Clifford semigroup and then constructs the congruent subsemigroup over a Clifford semigroUup.在Clifford半群的nil-扩张中引入了正规子半群的概念,利用正规子半群给出了Clifford半群的nil-扩张上的同余子半群的概念。
Aluthge transforms of essentially normal operators本性正规算子的Aluthge变换
Every normal operator is trivially subnormal.每一个正规算子显而易见地是次正规的。
Complete Form of Furuta Type Inequalities and Classes of Operators Including Hyponormal Operators;Furuta型不等式的完全形与含亚正规算子的算子类
Weyl's theorem and hypercyclicity for algebraically *-paranormal operators*仿正规算子的Weyl定理以及超循环性
The cheapest way to get one is to invoke the spectral theorem and to conclude that normal operators always have non-trivial invariant subspaces.取得这样结果的最省力的尝试是引用光谱定理而得到正规算子恒有非平凡不变子空间的结论。
Normality、Subnormality and Hyponormality of Toeplitz Operators and Products of Toeplitz Operators;正规、次正规、亚正规的Toeplitz算子及Toeplitz算子乘积
Compact Normal Operators, Commutativity up to a λ for a Pair of Operators and Operator Completion Problems;正规紧算子λ-交换算子对和算子补问题
Operators Related to Log-ω-hyponormality and p-ω-hyponormality与log-ω-亚正规性和p-ω-亚正规性相关的算子
On the Equivalence of Several Propositions in Normal Solution Operators;关于正规能解算子几个命题的等价性
Research on finding annihilators of Boolean functions based the algebraic normal form fast transformations一种代数正规形快速变换的零化子算法
Generation Algorithm of the Normal Closure and Its Program of the Symmetric Group Subset对称群子集的正规闭包的生成算法及程序
Regular E-mail messages cannot contain computer viruses, but attachments can.常规的电子邮件正文不能包含计算机(bìng)(dú)，但附件却可以。
In addition, the possible world semantics of the classical normal modal operator can be regarded as the degradation of the improved twin-subset semantics when RIF( w)=?经典的正规模态算子的可能世界语义可以看成是改进的双子集语义当RIF()?
The k-Numerical Range of Operator and A Pair of Orthogonal Projections;算子的k-数值域和正交投影算子对
On the Positive Solutions of the Operator Equations X+A~*X~(-t)A=I;算子方程X+A~*X~(-t)A=I的正算子解
On Positive Operator Solutions of Operator Equation X~s-A~*X~(-t)A=I算子方程X~s-A~*X~(-t)A=I的正算子解
Fredholm Operators and Regular Operators of Hilbert C~*-ModuleHilbert C~*-模上的Fredholm算子与正则算子
You have displaces some pieces on the board, as the rules defined you should re-establish the correct position (reconstruct the moves)on your own time.你把棋子摆乱了，按照规则你可以恢复到正确的位置但要算你的时间。
