COMPACT OPERATORS ON SPACES WITH ASYMMETRIC NORM

被引：0
作者：
Cobzas, S. [1 ]
机构：
[1] Babes Bolyai Univ, Fac Math & Comp Sci, Str Kogalniceanu 1, RO-400084 Cluj Napoca, Romania
来源：
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2006年 / 51卷 / 04期
关键词：
Quasi-metric spaces; quasi-uniform spaces; spaces with asymmetric norm; compact operators; the conjugate operator; Schauder compactness theorem;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of the present paper is to define compact operators on asymmetric normed spaces and to study some of their properties. The dual of a bounded linear operator is defined and a Schauder type theorem is proved within this framework. The paper contains also a short discussion on various completeness notions for quasi-metric and for quasi-uniform spaces.
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页码：65 / 83
页数：19
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