基本解释：左逆算子
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The stability of the left invertible operators under the linear operation and some perturbation questions are discussed in this paper,and an example is given to explain that R(A)∩R(B)={0} is not necessary so that λA+B is also a left invertible operator for λ∈C when A and B are left invertibl主要讨论了 Banach空间上左可逆算子在线性运算下的稳定性及一些摄动问题 ,并通过反例证明了对于 Banach空间上的左可逆算子 A和 B,R(A)∩ R(B) ={0 }不是 λA+B( λ∈C)为左可逆算子的必要条件 。
Let Pr(f) (x) denote the poisson integration on sphere, for fractional integration operator Ia on Sphere it’s integration type inverse operator is researched.设Pr（f）表示球面上的Poisson积分，对球面上的分数次积分本文对其积分型逆算子进行了探讨。
The Pseudo-inverse Operators of Linear Operators in Hilbert Space and Its ApplicationsHilbert空间中线性算子的伪逆算子及应用
Study on the Generalized Drazin Invertible Operators and Projection Operators广义Drazin可逆算子与投影算子的研究
The pseudo-inverse operators of the frames in Hilbert space and its several characters;Hilbert空间中框架算子的伪逆算子及其性质
Research for the Inverse Operator of Fractional Integration on Sphere;球面分数次积分算子的逆算子探究(英文)
Inverse Operator Theorem and Z-graph Theorem in Sub-normed Z-linear Space;Z-空间中的逆算子定理和Z-图像定理
Strong Converse Inequality for Bernstein-Durrmeyer Operators;Bernstein-Durrmeyer算子的强逆不等式
Moore-Penrose Inverse of the Partitioned Operators分块算子的Moore-Penros逆
Invertibility of Infinite Dimensional Hamiltonian Operators无穷维Hamilton算子的可逆性
Solutions of Operator Equations and the Drazin Inverse of the Operators;算子方程的解与算子的Drazin逆
Mbekhta s Subspaces and Invertibility of Operators;MBEKHTA子空间与有界线性算子的可逆性
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
The Generalized MP Inverse of Category and Idempotency Projections;范畴中广义Moore-Penrose逆与幂等算子研究
Lie Maps and Reverse Elementary Operators on Nest Algebras;套代数上的Lie映射和逆初等算子
Completing Invertible Infinite Dimensional Hamiltonian Operator;可补为可逆无穷维Hamilton算子
The Spectra and Invertibility of Skew-Hamiltonian Operators;无穷维反Hamilton算子的谱及其可逆性
A Representation and Computation of Generalized Inverse A_(T,S)~((2)) of a Matrix Based on Its Submatrices;广义逆A_(T,S)~((2))的子阵表示及其计算
Order-reversing Involution Operator in Bounded Implicative-algebras;有界蕴涵BCK-代数中的逆对合算子
The Invertibility of the Polynomial of Back-operator for Time Series Models时间序列模型Back算子多项式的可逆性
