| 1. | Then , we investigate iterative methods in hilbert spaces for solving such problems in the second part
本文在第二部分讨论了hilbert空间中均衡问题的近似迭代解。 |
| 2. | These new derivatives are equivalent to old one in hilbert space , but this is not true in banach space
这些“新的”微分概念在hilbert空间中等价于已有的概念，但在banach空间中将出现不等价问题。 |
| 3. | In particular the energy decay of the solution is obtained by the use of komornik ' s integral inequality
特别地，我们利用komornik积分不等式得到弱解的能量衰减估计，其中a _ 1 ， a _ 2和n为一些hilbert空间上的有界线性算子 |
| 4. | 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。 |
| 5. | We consider frames which contain a riesz basis in hilbert space and focus our attention on those general characteristics , stability , disjoint and alternate dual
本文主要在hilbert空间上探讨含riesz基框架的一般性质、稳定性，不相交性及其交错对偶的情况。 |
| 6. | Russell ( [ 17 ] ) has showed that , a compact perturbation , generated from unitary operator groups in infinite - dimensional linear hilbert spaces , is unable to make the perturbed semigroup exponentially stable
Russell ( [ 17 ] )曾指出，无限维hilbert空间中的酉算子群对生成的紧扰动不能使被扰动半群具有指数稳定性。 |
| 7. | ( 10 ) let m be a weakly closed operator subspaces acting on a hilbert space h . m . is said to have property ( p ) , if the subspace linearly generated by all rank one operators in m is weakly dense in m
在第五章中，我们研究了算子空间中秩一算子生成的子空间的a一弱稠密性间题，得到了三个充要条件，即( l0 )设州是作用在hilbert空间火上的。 |
| 8. | Let h be an infinite dimensional complex hilbert space , b ( h ] the banach algebra of all bounded linear operators on h , and s ( h ) the space of all symmetric operators on h . let l be a real linear , weakly continuous rank one preserver of s ( h )
设h是无限维复的hilbert空间， b ( h )为h上的有界线性算子全体组成的banach代数， s ( h )为h上的对称算子全体 |
| 9. | In chapter 1 , we introduce some terminology and notation , and summarize the back - ground and the main contents of this paper . in chapter 2 . we discuss the order homomorphisms and preannihilators of reflexive modules over reflexive operator algebras
设a是hilbert空间h上的自反算子代数， u是任一自反a -模，用u _表示u在迹类算子空间t ( h )中的预零化子。 |
| 10. | The main contents of this thesis are shown below : 1 . a necessary and sufficient condition of the separability of a mixed state in bipartite systems is presented by decomposing a higher dimension hilbert space into many 2 2 subspaces
主要内容包括： 1 、提出了一种通过把高维hilbert空间投影到多个低维子空间的方法，来研究纠缠态的判据，得到了纠缠态的一个充分必要判据。 |
