theory of linear operators

Bounded linear operators from one Z-space X to another Y are defined naturally, and some results which approximates to the dual spaces theory of normed spaces are obtained.

本文以自然的方式定义了从Z-空间X到Z-空间Y的有界线性算子的和以及它们的数乘.从而得到了与赋范空间的对偶空间理论类似的一系列结论。

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In this note, using the spectral theory of linear operators, a spectral representation of infimum of two self-adjoint operators with respect to the logic order is established.

本文利用线性算子的谱理论给出了逻辑序下两个自伴算子下确界的谱表示。

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The theory of linear functionals and linear operators in a probabilistic inner product C-space was discussed in this paper.

本文是[1]、[2]的继续，讨论了C&型概率内积空间中的线性泛函与线性算子理论。

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Then it shows that the operator determined by the system is dissipative and generates a C0 semigroup, and hence the well-posed-ness of the system follows from the semigroup theory of bounded linear operators.

然后利用有界线性算子半群的理论，证明了由闭环系统所确定的算子是预解紧的耗散算子，生成C0压缩半群，从而得到了系统的适定性。

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The perturbation theory for a class of linear operators and Its Applications

一类线性算子的扰动理论及其应用

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The Theory of Linear Operators on a Class of Indecomposable Banach Spaces and Related Problems

一类不可分解Banach空间上线性算子理论及有关问题

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On the theory of linear operators of probabilistic inner product C-space

C&型概率内积空间的线性泛函与线性算子理论

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Spectral theory of linear operators is one of the basic theories in modern mathematics. It is widely used in mathematics, physics, engineering and so on.

线性算子的谱理论是现代数学最基本的理论之一，它在数学、物理、工程等方面都有重要的应用。

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Applying semigroup theory of linear operators, we get the well-posed-ness of the linearized model. Then we provide the asymptotic expressions of the eigenvalues of the system operator and their corresponding eigenvectors with a detailed spectrum analysis.

采用线性算子半群理论解决了线性化模型的适定性，并在此基础上对系统算子进行谱分析，给出系统算子本征值和相应本征向量的表达式。

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In this way, we solve the problem of solution expansion using semigroup theory of linear operators.

这样我们便应用算子半群理论将解的展开问题得以解决。

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In this paper, we, mainly by means of analytical method and using the theory of semigroups of linear operators, study the ω-continuous semigroups and their applications to Continuous-Time Markov Chains ( CTMCs).

本文着力于使用分析的方法，以算子半群理论为工具，研究弱星连续半群及其在参数连续Markov链中的应用。

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