查询词典 hilbert space

By using the analysis method,this paper gets a inequality about the relation of the interior product and the norm in the separable,complex Hilbert space.

用分析法得到了可分复Hilbert空间中一个内积与范数关系的不等式，由此不等式可推出几个可以看作是Cauchy-Schwarz不等式的反向不等

In chapter Ⅳ, we study forward-backward stochastic differential equations with jumps and with bounded stopping time terminal, which take values in separable Hilbert space, and are drived by cylindrical Brownian motion and Poisson point process.

第四章，研究了取值Hilbert空间的带跳正-倒向随机微分方程，其部分系数不满足李普西茨条件，并且终端时间为有界停时。

If let H be a complex separable Hilbert space ,dimH ≥ 3, we prove that every approximately 2- local automorphism of P B_s(H,E is an automorphism. Every real linear approximately local automorphism of B_s is an automorphism.

另外本章还证明了对于可分的Hilbert空间H，当dimH≥3时，P，B_s和E的近似2—局部自同构是自同构，B_s的实线性近似局部自同构是自同构。

The so-called AT-algebras are inductive limits of finite direct sums of matrices over the extension algeras of circle algebra by K, where K is the C~*— algebra of all compact operators on a separable infinite dimensional Hilbert space.

若V_*与V_*同构，且保持单位元等价类；T与T仿射同胚，且同构映射与同胚映射相容，则存在E与E′的同构导出上述同构和同胚，所谓AT-代数即为圆代数通过κ的本质酉扩张的矩阵代数的有限直和的归纳极限，这里κ为可分的无限维复Hilbert空间上的紧算子全体，不变量中的V*为三变元Abel半群，T为迹态空间，[1]为单位元所在的Murray-von Neumann等价类，r_E为连接映射。

In this doctorial dissertation,we study the stabilization,strong stabilization and estimation problem in the framework of nest algebras in Hilbert space.

本文我们是在套代数框架下，研究Hilbert空间中线性系统的稳定化、强稳定化以及一般估计问题。

In the same time, after shortly review the Halclanes description of the quantum Hall effect on 2-sphere S2, we obtain the corresponding noncommutative algebra An and the Moyal structure of the Hilbert space.

同时在回顾了Haldane在二维球面S~2上对量子Hall效应的描述，我们构造了S~2的非对易代数及其Hilbert空间的Moyal结构。

By an appealing parameterization and projection techniques that use the reproducing kernel Hilbert space norm,recursions for the effective parameters and a sparse Gaussian approximation of the posterior process are obtained.

通过利用参数化和再生核Hilbert空间范数的投影技巧，得到优化后的参数和后验过程的稀疏高斯逼近。

It is described that how to generate SIP from the original remote sensing image and how to organize and index the image blocks in SIP by using Hilbert space-filling curves and the unique GSG units' codes.

分析了全球剖分格网与影像金字塔的优点与不足，结合两者的优势提出了剖分影像金字塔模型及建塔策略，利用全球剖分格网面片编码的唯一性和Hilbert曲线空间连续性对影像块进行索引与组织。

In Chapter 2, an existence theorem is obtained for periodic solutions of non-autonomous second order systems with even-typed potentials. We also investigate solutions of linear bounded positive self-conjugation operators equations in Hilbert Space by variation methods.

第二章主要利用临界点理论中的归药方法、极小作用原理研究具偶型位势的二阶非自治系统周期边值问题，得到了周期解的存在；利用变分方法证明了Hilbert空间中有界线性正自共轭算子方程解的存在性。

They state that the state space of a system is a Hilbert space and the observables are Hermitian operators acting on that space, but do not tell us which Hilbert space or which operators.

它们规定系统的状态矢量空间是希耳伯特空间以及可见的是作用于空间的哈密特操作者，但是不告诉我们哪个是希耳伯特空间或哈密特操作者。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。