1) 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。
2) 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。
3) Closed graph theorem with its applications
闭图象定理及应用
4) demiclosed maps
半闭映象
6) closed image
闭映象
1.
In this paper, the followed conclusion is given: The deflation image of K set function ( K<1 ) in the bounded closed set is the compact deflation image, and also the closed image.
有界闭集上的函数Ｋ＜１集压缩映象是紧压缩映象，且是闭映象。
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
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