查询词典 hilbert problems

And if H is an infinite dimensional Hilbert space, it is an inner derivation; Finally we get the same results when the nest is non-trivial.

首先证明了作用在Hilbert空间上的B上的r-Jordan可导映射是一个可加导子，并且当Hilbert空间是无限维时，它是一个内导子；最后在N≠{{0}，H}的情况下得到了相同的结论。

And then characterize the Jordan semi-triple derivable maps on the set of all linear bounded operators actingn on an infinite dimensional Hilbert space, then prove that it is additive and so is an inner derivation.

并且对作用在无限维Hilbert空间上的有界线性算子的全体上的拟三重Jordan可导映射进行了刻画，证明了它是一个内导子。

Chapter 1 presents the concepts of normed linear spase, Banach spase, inner product spase and Hilbert space.

而为了讨论向量序列的极限，必须引入向量的范数。这样就有了赋范线性空间的概念。

So an inner product space is automatically a normed linear space, and a Hilbert space is automatically a Banach space.

我们定义了线性映射的厄米共轭：对所有的，，(1)从而定义了中的内积：对(2)注意，由(1)可见与不同。

This method transforms the discrete problem to continuous function space and convert the inner product computation problem in Hilbert space into function evaluation problem in some discrete points.

该方法将离散的问题影射到连续函数空间中进行处理，同时将Hilbert空间中的内积计算问题转化为函数在离散点的取值问题。

Reproducing kernel Hilbert space ; inner product ; orthonormal basis

再生核Hilbert空间；内积；正交基

By using the approach of weight function, a new Hilbert-type integral inequality with some parameters and a best constant factor is given. The reverse form and the equivalent forms are also considered.

应用权函数的方法，建立一个新的含多个参量的具有最佳常数因子的Hilbert型积分不等式，并考虑了它的逆向形式及相应的等价形式。

Hilbert's Invariant Theory Papers Lie Groups History, Frontiers and Applications, Vol.

中文参考译名：希尔伯特不变理论论文（李群群体的历史，边界和应用，卷。8

As an extension, we also obtain some sufficient and necessary conditions under which M_c is left Fredholm and left Weyl for some left invertible operator C, respectively.In chapter 2, the sufficient and necessary condition under which the difference of two idempotent operators on infinite dimensional Hilbert spaces is Fredholm (in-vertible) is discussed. In addition, some equivalent conditions under which products and differences of projections in a C~*-algebra are Moore-Penrose invert-ible are obtained.

来源：Ae5BCab论7a文网www.abclunwen.com对给定的算子对，给出存在左可逆算子C使得M_C左可逆的充要条件；存在可逆算子C使得M_C左可逆的充要条件；存在左可逆算子C使得M_C是左Fredholm算子的充要条件；存在可逆算子C使得M_C是左Fredholm算子的充要条件；存在左可逆算子C使得M_C是左Weyl算子的充要条件；存在可逆算子C使得M_C是左Weyl算子的充要条件。

Secondly,we develop multiple-dimensional Jacobi polynomial approximations in non-isotropic Hilbert spaces.

本文在建立Jacobi谱方法和拟谱方法数值分析理论的基础上，数值求解这三类问题。

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。