Open Mapping Theorem

被引:0
|
作者
Sakurai, Hideki [1 ]
Kunimune, Hisayoshi [1 ]
Shidama, Yasunari [1 ]
机构
[1] Shinshu Univ, Nagano, Japan
来源
FORMALIZED MATHEMATICS | 2008年 / 16卷 / 04期
关键词
D O I
10.2478/v10037-008-0048-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article we formalize one of the most important theorems of linear operator theory the Open Mapping Theorem commonly used in a standard book such as [8] in chapter 2.4.2. It states that a surjective continuous linear operator between Banach spaces is an open map.
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页码:401 / 403
页数:3
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