On Banach frames

被引：0
|
作者：
Jain, P. K. [1 ]
Kaushik, S. K.
Vashisht, L. K.
机构：
[1] Univ Delhi, Dept Math, Delhi 110007, India
[2] Univ Delhi, Kirorimal Coll, Dept Math, Delhi 110007, India
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2006年 / 37卷 / 05期
关键词：
Banach frames; frames; stability;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Examples and counter examples to distinguish various types of Banach frames have been given. It has been proved that if a Banach space has a Banach frame, then it also has a normalized tight as well as a normalized tight and exact Banach frame. In particular, it has been proved that a Banach space with a weak* separable dual has a normalized tight and exact Banach frame. A condition for the stability of a Banach frame has been given. Finally, we consider finite sum of Banach frames and give a condition under which finite sum of Banach frames is a Banach frame.
引用
收藏
页码：265 / 272
页数：8
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