1) closed graph theorem
闭图象定理
1.
The closed graph theorem is one of the basic theorem in functional analysis.
闭图象定理是泛函分析中基本定理之一,借助于它可以把关于算子连续性的讨论予以简化。
2) Closed graph theorem with its applications
闭图象定理及应用
3) closed graph theorem
闭图定理
1.
And a closed graph theorem on S barrelled space is given.
用几乎闭子空间与几乎开映射刻画了S桶形空间的特征 ,并给出S桶形空间上的一个闭图定
4) diagram theorem
图象定理
1.
Exploiting compact theorem and diagram theorem, the paper extends four colours theorem to infinite case and introduces short proof for Ramsey theorem based on model theory method.
四色定理和Ramsey定理是图论中重要的定理,文章运用模型论中的紧致性定理、图象定理等将图论中的四色定理推广到无穷情形,并给出了Ramsey定理基于模型论方法的证明。
2.
Exploiting compact theorem and diagram theorem, the article introduces proofs for four colours theorem and Ramsey theorem based on model theory method.
四色定理和Ramsey定理是图论中重要的定理,本文运用模型论中的紧致性定理、图象定理等给出了这两个定理基于模型论方法的简短证明。
5) semiclosed graph theorem
半闭图定理
1.
Moreover, the semiopen mapping theorem, the semiclosed graph theorem and the semibounded inverse theorem are established under some conditions of weaker t-norms.
对MengerPN空间上的线性算子引入β-半有界,β-半开及β-半闭等概念,讨论了它们间的关系,并在较弱的t-模条件下建立了半开射定理,半闭图定理和半有界逆定理。
6) closed graph
闭图象
1.
X→Y has a closed graph are provided,and the classical closed-graph theorem is generalized.
本文给出了算子Ｔ具有闭图象的一些等价条件，并推广了经典的闭图象定理。
补充资料：闭图象定理
闭图象定理
dosed graph theorem
闭图象定理【d姗dglaph‘e吮m;:阴.珍r诫I件中以(T.碑Mao，别”‘”‘n0MI拼呻椒刀 设X和Y是具有位移不变距离(即P(、，川二户(x+a，夕+a)，x，夕，a任X，对于}类似)的完全度量线性空间，A是由X到Y的线性算子.如果该算子的图象GrA二{(叉，瓜):x 6X}是1头乏以找巴积万卜、Y的闭子集，那么算子A是连续的.闭图象定理有各种推广;例如，有闭图象的由分离桶型空间到完满完全空间的线性映射是连续的.紧密相关的定理是开映射定理和B肚份ch同胚定理.【补注】亦见开映射定理(。详n一map阴ng tl长幻~只县中也讲到助naeh同胚定理).史树中译
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