查询词典 finite dimensional operator

The content of this course is divided into four chapter, the normed linear space and bounded linear operator on the normed space; the character of finite dimensional linear space; the basic theorems on Banach space.

本课程主要分为四章，赋范线性空间与内积空间；赋范线性空间上的有界线性算子，有限维赋范线性空间的特征。Banach空间中的基本定理：泛函存在定理，一致有原理，开映象，闭图象、逆算子定理。

In chapter 3, the problems of constructing finite-dimensional functional linear invari-ant spaces under a given differential operator as well as an inverse problem concerning thedescription of all operators possessing a given invariant space are investigated.

第三章中讨论了基于算法产生的两个互逆问题，即(1)构造在已知的微分算子下不变的有限维线性函数空间；(2)讨论拥有相同线性不变空间的微分算子的一般表达式。

The problem that under what conditions the - resolvent operator of a maximal TJ - monotone set-valued mapping is a Lipschitz continuous single-valued mapping on whole space, which also answers the open problem mentioned above, is studied on finite dimensional Euclidean spaces.

借助于图收敛理论证明了有限维欧氏空间中的两个极大单调集值映射的和映射在较弱条件下仍是极大单调集值映射，并在此基础上讨论了一般集值变分包含问题解集的凸性、闭性和有界性。

The research is carried on from four aspects. One is, based on answering the above open problem on a finite dimensional Euclidean space by means of partially ordered theory, to research the existence of solutions, global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable-parameter three-step iterative algorithms for generalized set-valued variational inclusion problems by using - resolvent operator of set-valued mapping.Two is to consider the convexity, closedness and boundedness of the solution set of general set-valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory. Three is to discuss directly the existence of solutions by using analytical methods for set-valued mixed quasi-variational-like inequalities and suggest a class of direct variable-parameter three-stepiterative algorithms for solving generalized set-valued variational inclusions.

研究分有三个方面：一是借助于偏序理论在有限维欧氏空间中解决了上述公开问题，在此基础上利用集值映射的η-预解算子，研究了广义集值变分包含问题解的存在性、逼近解的全局误差界、参数唯一解的灵敏性，并提出了一类变参数三步迭代算法；二是借助于图收敛理论研究了一般集值变分包含问题解集的凸性、闭性和有界性以及参数解集的灵敏性；三是用分析的方法直接讨论了集值混合拟类变分不等式问题解的存在性并提出了一类求解广义集值变分包含问题的直接变参数三步迭代算法。

For a new kind of linear chaotic operator, one class of nonwande-ring operators (invertible and bounded linear nonwandering operators) are studied, and their invariance under small perturbation in finite dimensional separable Banach Space is proved.

对于一种新型的线性混沌算子―非游荡算子，研究Banach空间上的一类特殊非游荡算子―可逆线性有界非游荡算子，证明它的小扰动下的不变性。

At present time thesemaps have become important objectors and tools in studying operator algebras. Nestalgebras is a class of most importaut non-semisimple, non-prime and non-self adjointoperator algebras. Their finite dimensional models are upper triangular matrix algebras,but the infinite dimensional models are more complex.

本文在已有成果的基础上，研究了一些类型的算子代数上的Jordan可乘映射，Jordan-triple可乘映射，Lie-skew可乘映射，初等映射，Jordan-triple初等映射，Lie导子，Jordan导子，局部导子和局部同构及其刻画问题。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。