1) open mapping and closed graph theorems
开映照与闭图定理
2) 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
3) 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。
4) 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。
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) compactly closed [compactly open] valued map
紧闭[紧开]值映射
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