Principles of functional analysis in scales of spaces: Hahn-Banach theorem, Banach theorem on homomorphisms, and theorems on open mappings and closed graphs

被引：0
|
作者：
Orlov I.V. [1 ]
机构：
[1] Taurida National V. Vernadsky University, Simferopol
来源：
Journal of Mathematical Sciences | 2008年 / 150卷 / 6期
关键词：
Banach Space; Open Mapping; Operator Scale; Topological Vector Space; Inductive Limit;
D O I：
10.1007/s10958-008-0155-4
中图分类号：
学科分类号：
摘要：
The Hahn-Banach theorem, the Banach theorem on homomorphisms, and theorems on open mappings and closed graphs are transferred to functionals and operators acting in inductive scales of spaces. The applications to operators acting in inductive limits and dual spaces are considered. © 2008 Springer Science+Business Media, Inc.
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页码：2563 / 2577
页数：14
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