1) Closed range theorem
闭值域定理
2) range theorem
值域定理
3) closed range
闭值域
1.
Composition operators with closed range on the Bloch space;
Bloch空间上复合算子的闭值域
2.
In this paper,the density of all the closed range operato rs in Hilbert Space is proved using the minimum modulus of the op erator.
以算子最小模为工具,证明了全体闭值域算子在希尔伯特空间中的稠密性。
3.
A sufficient condition is obtained to the composition operators with compact and closed range.
在解析算子函数所形成的空间上定义复合算子,给出此复合算子的紧性和闭值域性质。
4) Closed-range
闭值域区域
1.
T-regular points of Closed-range of Banach Space Operators;
Banach空间算子闭值域区域的正则划分
5) Sequence theorem of the closed rectangularity
闭矩形区域套定理
6) closed range operators
闭值域算子
1.
Perturbation of closed range operators and frames;
闭值域算子和框架的扰动
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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参考词条