查询词典 vaguely bounded operator

Let A" denote the commutant of a bounded linear operator S on H and R denote the collection of all operators in A" which are compact and upper triangular operators with diagonal sequence being zeros. In this paper, we show that if A"= CI + R, the K_0-group of A" is isomorphic to the integer group.

本文指出若H上的有界线性算子S的换位代数A′=CI+R，其中C是复数域，I是H上的单位算子，R是所有与S可交换的对角线为0的紧上三角有界线性算子的集合，则K_0A′

Let Xand Y be different Banach spaces and 〓Lbe a bounded linear operator,thegeneralized condition number 〓and〓ABA=A,B〓L}are studied.

文章讨论了两类广义条件数的几种表达式，研究了这两类广义条件数之间的关系，并将它们用到算子方程的扰动估计中，推广了Demko[IV.1]中的结果。

In chapter 4, we give the definition of quasi-norm of linear operator with respect to a given bounded set in F* space and study some of its properties.

第四章 在F~*空间上给出线性算子关于一个给定有界集的拟范数的定义，研究它的某些性质。

In the third chapter, we use the tool of Carleson measure, charactering the bounded and compact of weighted composition operator on Bergman space on strongly pseudoconvex domains, these results generalized the results of G.

在第三章，利用Carleson测度这一工具，刻划了有界强拟凸域上Bergman空间上加权复合算子的有界性及紧性。

Since bounded closed sets in infinite dimensional space are notcompact generally,in order to employ Horn's fixed point theorem the compactness of operator Pis initially proved in section 3 in this chapter.

由于无限维空间的有界闭集一般不具备紧性，为了应用Horn不动点定理，我们先证明了Poincare算子P的紧性。

Moreover, we introduce an auxiliary operator, and then by means of its spectral properties and theory of perturbations of bounded linear operators to prove that there is a sequence of generalized eigenvector system which forms a Riesz basis for Hilbert state space.

通过引入一个辅助算子，利用它的谱性质以及有界线性算子的扰动理论，得到系统的广义本征向量的完整性以及Riesz基性质。

A three solutions theorem of nonlinear operator equation in Hilbert space was given by Sun Jing-xian in 1983,in this paper,the theorem was expanded to general Banach space by using gradient method ,and some conditions was weakened,such as the local Lipschitz condition s transformation to the bounded character of F and so on.

依据H ilbert空间中非线性算子方程的一个三解定理，本文运用最速下降法将这个定理推广到了一般的Banach空间，并且减弱了原定理的某些条件，如将局部Lipschitz条件减弱为F的有界性等

This paper studies the locally bounded property of a generalized infinite particle system with zero range interactions and the dissipation of the resolvent operator of the system generator.

研究了广义零程粒子系统生成元的局部有界性和系统生成元预解算子的局部散逸性。

For a new kind of linear chaotic operator, one class of nonwande-ring operators (invertible and bounded linear nonwandering operators) are studied, and their invariance under small perturbation in finite dimensional separable Banach Space is proved.

对于一种新型的线性混沌算子―非游荡算子，研究Banach空间上的一类特殊非游荡算子―可逆线性有界非游荡算子，证明它的小扰动下的不变性。

Coifman etc proved that the commutator T_f = f = T -bT is bounded on Lp if and only if b BMO, where T is a classical singular integral operator.

Coifman等人得到了交换子T_bf=f=T-bT在L~p(1＜p＜∞)上有界当且仅当b∈BMO，其中T是经典的奇异积分算子。C。

He squeezes all the available juice out of every scene.

他挤出所有可用的汁每一个场景。

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