Using the technique of block-operator matrices of bounded linear operators on a Hilbert space,the geometry structure of the two idempotent operators of P and Q is obtained.
利用Hilbert空间中有界线性算子的分块矩阵技巧,得到了关于P,Q两个幂等算子的几何结构之后,研究了幂等算子以及其乘积的线性组合的性质,证明了当c1(c2+c3)≠0,c2(c1+c3)≠0,c1+c2+c3≠0时,在c2c+1c3[-1,0]或者c1c+2c3[-1,0]的条件下,算子c1P+c2Q+c3PQ的值域闭性与系数组(c1,c2,c3)的选取无关。
Invertibility of Differences of Two Generalized Idempotent Operators
广义幂等算子差的可逆性
A∈B(H) is said to be generalized quadratic operator if A satisfies AP=PA=A and the quadratic equation A2=αA+βP, where α, β∈C and P∈B(H) is nonzero idempotent.
如果A∈B(H)满足二次算子方程A2=αA +βP,其中α,β∈C,P是一个非零的幂等算子且AP=PA=A,则称A为广义二次算子。
In this paper, idempotents of factor von Neumann algebras is characterized by general Lie product; a characterization of idempotents of nest subalgebras in factor von Neumann algebras is obtained by Lie product.
本文给出因子von Neumann代数中的幂等算子在广义Lie积下的一个刻画; 得到因子von Neumann代数中套子代数的幂等算子在Lie积下的一个特征。
The lattice structure of idempotent subsets of a semigroup;
半群中幂等子集的格结构
In chapter 2, we give some properties of subidempotents, left regular ordered semigroups and maximal left ideals.
第二章给出有关序半群的子幂等元和左正则序半群以及极大左理想等的若干性质;利用极大左理想刻画无子幂等元,且任意真左理想是Archimedean(1-Archimedean)子半群的序半群。
The Generalized MP Inverse of Category and Idempotency Projections;
范畴中广义Moore-Penrose逆与幂等算子研究
Linear Combinations, Path Connectivity of Idempotents and Drazin Inverse in B(H);
幂等算子的线性组合，路径连接及算子的Drazin逆
Research on Inequlities of Unitarily Invariant Norms of Operators and Idempotency of Linear Combination of Idempotents;
关于酉范数不等式与幂等算子线性组合相关问题研究
Linear Operators Preserving Idempotent on 2×2 Matrix Spaces;
2×2矩阵空间上保幂等的线性算子
Coherent State Calculation of Coordinate Operator Matrix Element of Harmonic Oscillator;
谐振子任意次幂坐标算符矩阵元的相干态计算
First, computers have circuits for performing arithmetic operations, such as: addition, subtraction, division, multiplication and exponentiation.
第一，计算机具有进行加、、、及取幂等各种算术运算的电路。
Group inverse of a class of block matrices with idempotent sub-blocks over skew fields
体上一类具有幂等子块的分块矩阵的群逆
Some Researches on Powerset Linear Operator in Fuzzy Normed Spaces;
模糊赋范空间中幂集线性算子的若干研究
Research and Implementation of the Power Set Operator Automatic Refinement in Z Specification;
Z规格说明中幂集算子自动求精的研究与实现
An Algorithm for Fast Finding Signal Subspace Based on Power Algorithm;
一种基于乘幂法的信号子空间快速求解算法
Method based on power average operator for interval multi-attribute decision-making
基于幂均算子的区间型多属性决策方法
The Extension on Fixed Point Theorem of Power Arithmetic Operators F~n and F in close Convex Set;
闭凸集上幂算子F~n的不动点定理及算子F不动点定理的推广
An algebraic quantity that when raised to a certain power equals zero.
幂零一个代数值，其若干次幂等于零
Calculation of matrix elements of coordinate operator of harmonic oscillator with integer power by coherent state functions
用相干态函数计算谐振子任意次幂坐标算符的矩阵元
Studying Path Intergration Short-time Propgator of the Periodic Damp Harmonic Oscillator by Power Series Expansion Method
幂级数展开法计算周期阻尼振子路径积分短时传播子
This idempotent ultrafilter enables us to find an appropriate infinite set.
这个幂等的超滤子能使我们找到一个适当的无限集。
The Effects of Even-number-order Unequal-power N_jth Power Y-squeezing on the Two Kind of Multi-mode Quantum Superposition States;
两类多模量子叠加态的偶数次不等幂次N_j次方Y压缩
The Equal-order Even-number-order Sum-squeezing in a kind of Multi-mode Quantum Superposition State with Superposition of Non-symmetry Two Multi-mode Quantum States;
非对称两态叠加多模量子叠加态的等幂偶数阶和压缩