查询词典 closable linear operator

Theorem4.5 Let A be a compact normal operator, is an isolated point in Prop4.13 Let A be a compact normal operator, AO is an isolated point in a.

i20 其中（入，…＼＊为一川的所有的互不相同的孤立点。命题4.13设A是紧正常算子，人。一0是a…）的＄良立点。

FD.Delegate will use the equality comparison operator and will return the result of the comparison according to the implementation of the operator.

FD.Delegate将使用比较运算符平等和将返回比较的结果根据经营者的执行情况。

This is also the case if it is forced to use the equality comparison operator when the equality comparison operator is not available or not accessible for the specified function object type.

这也是如果它是被迫使用比较运算符的平等时，平等比较运算符不可用或不指定函数对象类型访问的情况。

A complete boundary integral formulation for incompressible Navier Stokes equations with time discretization by operator splitting is developed by using the fundamental solutions of the Helmhotz operator equation with different orders.

利用不同阶次的Helmhotz算子方程的基本解，建立了时间离散不可压缩Navier－Stokes方程的完全边界积分表示式。

In chapter two,we find a completely continuous operator,the original operator equation is transformed a fixed point problem.

在第一章中，我们给出本文要用到的一些预备知识和本文的主要结果。

The main tools are the iterative method of monotone operator and the cone-compression theory of completely continuous operator.

主要工具是单调算子的迭代方法和全连续算子的锥压缩理论。

Based on the technique of transparent degree ruler, the operator of color composition is improved in the unchangeable sampling range. When the classifications of the volume data are small, this operator can obviously accelerate the rendering procedure.

对于稳定采样区间的颜色合成，提出了基于透明度标尺的颜色合成新算子，该方法对于类属较少的体数据，其绘制加速效果是十分明显的。

Secondly, a projector operator Q is defined in the Lebesgue integrable functions' space Y such that the composition of the inverse operator of L, I-Q and the nonlinear term f is compact, where I is the identity mapping in Y.

然后，在Lebesgue可积函数全体所成的空间Y上定义了投影算子Q，使得L的逆与I-Q及非线性项f的复合是紧算子，其中，I是Y上的恒同算子。

Iii By using the well-known properties of the dela vallee-poussin summability kernels and the pass principle of weakly compact operator, we study the weak compactness of C〓 on vector-valued analytic function spaces H〓, B〓, N and N〓, establish some connections between the weak compactness of composition operators and the structure properties of Banach spaces. These generalize and unify the corresponding results in the scalar-valued setting and enrich the content of the study of composition operator in another way.

第三，利用著名的de la Vallee-poussin可和核及有关算子的弱紧性的传递原理给出了向量值解析函数空间H〓、B〓、N及N〓上的复合算子的弱紧性的刻画，建立了复合算子的弱紧性与Banach空间的结构性质之间的联系，统一和推广了对应的数量值解析函数空间上的复合算子的弱紧性，这从另一种途径极大地丰富了复合算子的研究内容。

We establish some connections between geometric properties, properties in analysis and analytic properties of the inducing map ψ and operatortheoretic properties of composition operator C〓: f〓fοψ on various analytic function spaces mentioned above, include the boundedness, compactness, weak compactness, collective compactness and the Schatten class operator ideal, etc. Our results extend some previous results, for instance, the Shapiro's Nevanlinna counting function condition and the MacCluer's Carleson measure condition for the compactness of C〓 on Hardy space.

本文建立了D上解析自映射φ：D→D的几何性质、分析性质和解析性质与复合算子C〓：f→foφ在上述各种解析函数空间上的限制的算子性质之间的联系，涉及到复合算子C〓的有界性、紧性、弱紧性、总体紧性及Schatten类算子理想等算子特征，推广了前人的一系列结果，如Shapiro关于C〓的紧性的Nevanlinna计数函数条件，MacCluer关于C〓的紧性的Carleson测度条件等。

I can not negligent, he should do what?

我不能不在意了，他要做什么呢？

It is very dangerous to swim in the river alone.

一个人到河里游泳是很危险的。