查询词典 hilbert problems

Moreover,we study the sample support of homoge-neous O-U superprocess,and prove that the sample of this process canbe supported on a Hilbert subspace of the Schwartz space of tempereddistributions.

进而，讨论时齐O-U超过程的轨道支撑，证明了该过程的轨道可支撑于Schwartz分布空间的某个Hilbert子空间（定理1.9）。

Besides the existence, this essay also draws the conclusion that the optimal income tax function is lowers semicontinuous on a closed subset of the Hilbert space.

除了存在性，本文还得出了最优收入税函数在Hilbert空间的一个闭子集上是下半连续的结论。

Two intuitionistic systems of firstorder sentential calculus, Hilbert s type and natural deduction t ype, were introduced.

介绍了一阶命题演算的两个直觉主义系统：希尔伯特型及自然演绎型，并证明了这两个系统的等价性，揭示了直觉主义逻辑的内涵及与其他非经典逻辑的关

Chapter 9 deliberates the Kalman filter on the separable Hilbert space in the light of the theories of the operator semigrups.

首先研究了一般随机控制问题的数值解法，其次讨论了一类不可微系统的求解方法。

This paper mainly deals with invariant subspaces and cyclic vectors of certain diagonal operators on a separable Hilbert space. In this case, a complete characterization is given.

考虑一般对角算子的不变子空间是非常困难的，本文主要研究Hilbert空间上一类对角算子的不变子空间和循环向量，给出了这类算子不变子空间和循环向量的完整刻画。

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。

Using operator-theoretic-methods, we give some characterizations for a dual generalized frame of a generalized frame in a separable Hilbert space H. We also prove a result concerning two strongly disjiont generalized frames.

本文研究了可分的Hilbert空间H中的广义框架，运用算子理论方法，研究了可分的Hilbert空间H中广义框架的性质，给出了广义框架的对偶广义框架的一些刻画，并且证明了两个广义框架是强非交的一个充分必要条件。

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。

The statistical analysis of this large set of mutations has led us to propose a diagnostic strategy that should help with the molecular work-up of optic neuropathies.

这一大系列基因突变的统计学分析引导我们提出一个诊断策略，可以帮助我们对视神经病变进行分子学的诊断检查。

The results show that the pipe grouting changes the mechanical parameters of surrounding rocks to achieve the security of engineering objectives by reinforcing surrounding rocks and bolcking the water.

研究表明：小导管注浆一方面改变了围岩的力学参数，另一方面利用浆液的固结特性可以实现堵水和加固围岩的工程目标，使隧道在开挖过程中的安全得到保障。