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- linear operator theory 线性算子理论
- Banach algebra techniques in operator theory. 巴拿赫代数在算子理论中的应用。
- By using linear operator semigroup theory, it is shown that the solution obtained by the model is well-posedness. 对模型进行了分析,运用线性算子半群理论研究了模型的解的适定性。
- Basing on traditional operator theory,operator madel for a circuit is established,and a new method for the solution of response of linear time invariance system is introduced. 在传统的算子理论基础上,建立了电路的算子模型,提出了求解线性非时变系统全响应的一种新方法。
- In this paper, based on the invariant subspace theory and adjoint operator concept of linear operator, a new matrix representation method is proposed to calculate the normal forms of n order general nonlinear dynamic systems. 对于 n阶一般的非线性动力系统 ,根据线性算子的不变子空间理论和共轭算子概念 ,提出一种计算其规范形的新的矩阵表示方法。
- One of the most important, most difficult, and most exasperating unsolved problems of operator theory is the problem of invariant subspaces. 算子理论中最重要、最困难也最令人烦恼的未解决问题之一就是不变子空间问题。
- Each observable is represented by a densely defined Hermitian( or self-adjoint) linear operator acting on the state space. 每个可见由详细定义的厄密共轭(者同一伴随矩阵)用于状态矢量空间线性操作者来表现。
- These facts suggest a simple way of charaterizing linear operation. 这些事实提示我们,可以用一个简单方法来描述线性运行。
- Each observable is represented by a densely defined Hermitian (or self-adjoint) linear operator acting on the state space. 每个可见由详细定义的厄密共轭(或者同一伴随矩阵)作用于状态矢量空间线性操作者来表现。
- Methods The maximum principle,monotone method,bifurcation theory,the perturbation theorem for linear operators and the stability theorem for bifurcation solutions were used. 方法运用极值原理、上下解方法、分歧理论、线性算子的扰动理论和分歧解的稳定性理论进行研究。
- In the late 1980s, Douglas and Paulsen developed the module approach to multi-variable operator theory. 上世纪八十年代后期在研究多元算子理论中\\ Douglas\\ 和\\ Paulsen\\ 等人引入并发展了\\ Hilbert\\ 模理论,它结合代数,几何,分析 的方法为多变数算子理论的研究注入了新的活力。
- Obviously, sin() is not a linear operator, so even though wavenumber is a vector, sin(vector) is not a vector. 显然这样做的结果是不正确的,那么问题出在哪里。
- The property of the probabilistic norm of the linear operator in PN space with unit circle N (0, 1) is discussed. 摘要利用单位圆N(0,1)讨论PN空间中线性算子的概率范数的几个性质。
- The iterative construction of interpolating space is discussed by K-method and it is characterized by linear operator. 摘要用K方法讨论内插空间的迭代构造,并用线性算子对其特征进行研究。
- Operator theory, like every other part of mathematics, cannot be properly studied without a large stock of concrete examples. 算子理论如同数学的每一其它部分,如果没有大量具体例子作为储备,就不能真正地进行理论考察和研究。
- Cowen and Douglas introduced the tools of complex geometry into the study of operator theory in late seventies of last century. Cowen和Douglas上世纪七十年代末将复几何的工具 引入到算子理论中。
- These facts suggest a simple way of characterizing linear operation. 这些事实提示我们,可以用一个简单方法来描述线性运行。
- Abstract: In this paper, the method and theory of coprime factorizations of nonlinear systems based on the operator theory are introduced. 主要介绍了基于算子理论的非线性系统互质分解方法及其理论。
- By using the semigroup of bounded linear operator,a new locally convex vector topological is introduced,and some propositions of it are given. 利用有界线性算子半群;引入了一新的局部凸向量拓扑;并对其基本性质进行了讨论.
- The Laplacian on Riemannian manifolds is an essential linear operator, and it is also the main object to be studied of Geometric Analysis on manifolds. Riemann流形上的Laplace算子是一个重要的线性算子,也是流形上几何分析研究的主要对象之一。