1) open mapping theorem
开映射定理
1.
Some properties of sub-normed linear spaces are discussed and by introducing the concept of a Q-space, analogues of the inverse operator theorem, the open mapping theorem and the closed graph theorem are established in sub-normed linear space setting.
研究了次范整线性空间的性质,引入Q空间的概念,将泛函分析学中的开映射定理、逆算子定理与闭图象定理推广到次范整线性空间之中。
2.
The open mapping theorem and the closed gragh theorem for locally convex separated spaces are mainly researched in this thesis.
本文主要研究关于局部凸分离空间的开映射定理和闭图象定理。
2) spectral mapping theorem
谱映射定理
1.
The representation theorem about n\|times integrated semigroup with the generator being closed operator is obtained; Based on the relation of integrated semigroup and C \|semigroup, the spectral mapping theorem about integrated semigroup is also obtained.
得到了生成元为闭算子的 n次积分半群的表示定理 ;并根据积分半群与 C半群的关系 ,进而得到了 n次积分半群的谱映射定理 。
2.
In this paper, we discuss some properties of integrated C-semigroups without the assumption of exponential boundedness and prove their spectral mapping theorems.
第二节讨论了积分Ｃ－半群的谱映射定理。
3.
Also,a new spectrum corresponding to the consistent invertibility is defined and the spectral mapping theorem for this new spectrum is studied.
),得到了该谱集的谱映射定理:设A为Hilbert空间上的有界线性算子,则谱集1σ(A)满足谱映射定理当且仅当1σ(A)=。
3) strong PS-irresolute open mapping
强PS-不定开映射
1.
The concepts of strong PS-irresolute open mapping and strong PS-irresolute closed mapping are introduced in L-spaces and their properties are researched.
给出了强PS-不定开映射和强PS-不定闭映射的概念,并且讨论了它们的一些性质。
4) suspension theorem
同纬映射定理
5) riemann mapping theorem
黎曼映射定理
6) fixed point the-orem
压缩映射定理
补充资料：开映射定理
开映射定理
open-mapping theorem
[补注】闭图象定理的一个最近的综合的研究可在fAI]中找到.开映射定理「雌”.~叮.n，粗血幻mn;01俄poToeoo6-P~.，e] 将玫.山空间(B田uchsPace)X映射成整个E以nach空间Y的连续线性算子(h庄汾r operator)A是开映射(open Inapp吨)，即对x中任一开集G，A(G)是Y中开集，这是5.压脸ch证明的.此外，一个连续线性算子A如果表示从R吐坦ch空间X到B妞庄那h空间Y上一一变换，则是同胚(加~-卿印恤m)，即A一，也是连续线性算子(B时扭ch同琴牢砰(B恤nachho~rphism山印n汉n”. 例如，定义在实(复)B田坦ch空间X而在R(C)中取值每一非零连续线性泛函满足开映射定理的条件. 开映射定理可推广如下:将满完全(间y一comP-比，或B完全)拓扑向，空间(幻卯拓颐司从父tors侧犯e)X映射到桶型空间(加盯印出印暇)Y上的连续线性算子是开映射.闭图象定理(c奴曰一脚phthe-~)可以认为与开映射定理是紧密相连的.
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条