查询词典 completely continuous operator

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。

If F is a space of functions defined on a domain Ω and ψ is a function taking Ωinto itself, then the composition operator C〓 induced by ψ is defined by C〓: f〓fοψ,〓f∈F. It is obvious that C〓 is a linear operator.

设F是定义在区域Ω上的一个函数空间，φ：Ω→Ω是Ω到自身的一个映射，则可通过函数的复合定义一个线性算子C〓：f→foφ，〓f∈F，称为由φ诱导的复合算子。

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。

There's one special usage of an operator in Java: the + operator can be used to concatenate strings, as you've already seen.

这个运算符在java 里有一项特殊用途：连接不同的字串。这一点已在前面的例子中展示过了。

For example, the conditional operator is often used to print one or another value, depending on the result of a condition. Incompletely parenthesized uses of the conditional operator in an output expression can have surprising results

例如，经常使用条件操作符根据一定的条件输出一个或另一个值，在输出表达式中，如果不严格使用圆括号将条件操作符括起来，将会得到意外的结果

The decay of effect of a self-equilibrated system of forces in chain model is decided by the convergence of operator continued fraction, so the reasonable part of Saint-Venant's principle is described as the convergence of operator continued fraction.

平衡力系的影响在链式模型上由近及远的衰减受算子连分式的收敛性的控制，所以圣文南原理的合理成分体现为算子连分式的收敛性。

Firstly, we combine the theories of monotone operator and maximal monotone operator's Yosida approaching with domain method to prove the solution's existence of single input-output equation in R n in the similar economical backgrounds in present articles and then gain the solution's continuity by exterior approaching method,at last we give the responding economical meaning about the solution's existence and continuity.

就R n空间中消耗为单调单值型的投入产出方程，在现有文献类似的经济背景之下，利用单调算子的理论以及极大单调算子的Yosida逼近结合邻域逼近法给出了投入产出方程的解的存在性的证明，然后利用外部逼近法结合方程截断技巧证明了投入产出方程的解的连续性，最后给出了相对应于存在性和连续性的经济解释。

Secondly, we combine the theories of monotone operator and maximal monotone operator's Yosida approaching with domain method to prove the solution's existence of set-valued input-output equation in R n in the similar economical backgrounds in present articles too and then gain the solution's continuity by interior approaching method,at last we give the responding economical meaning about the solution's existence and continuity.

对于R n空间中消耗为单调集值型的投入产出方程，也在现有文献类似的经济背景之下，利用单调算子的理论以及极大单调算子的Yosida逼近结合邻域逼近法给出了投入产出方程的解的存在性的证明，接着利用内部逼近法结合方程截断技巧对投入产出方程的解的连续性给予了证明，然后顺便简单的介绍了运用外部逼近法来得到方程的解的连续性的思路，最后也给出了相对应于存在性和连续性的经济意义。

For solving problem (1), this dissertation first presents a sufficient and necessary condition by dealing with inequalities using projection operator in convex analysis, and then proposes a kind of new neural network model based on the constraint domain:〓(2) Where P is a projection operator on Q.

本文利用凸分析中的投影算子处理不等式约束，首先给出二次规划问题(1)解存在的充分和必要条件，据于此提出一种新的基于约束区域神经网络模型〓(2)来进行求解，其中P为Q上的投影算子。

"The operators will suffer a temporary decrease in the number of consumers and short message services as people may not like having to provide their ID cards for a phone number," Xu Junqi, vice-dean with the Policy-Making Institute of the Telecommunications Research Centre under MII, said yesterday.

信息产业部下属的通信决策研究院副主任徐俊其昨天说：&实行手机实名制后，人们可能不太情愿用身份证注册手机号，所以通信运营商会暂时面临用户减少和短信用户减少的问题。&

I don't believe in make-believe!

我不相信这些虚构的故事。