A Note on Exact Frames in Banach Spaces

被引：0
|
作者：
Semthanga, B. [1 ]
Kumari, Mina [1 ]
Kumari, Sandeep [1 ]
Sharma, Raksha [2 ,3 ]
机构：
[1] Univ Delhi, Kirori Mal Coll, Dept Math, Delhi 110007, India
[2] K R Mangalam Univ, Dept Math, Gurugram, Haryana, India
[3] Univ Delhi, Dept Phys, Kirori Mal Coll, Delhi 110007, India
来源：
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2024年 / 22卷
关键词：
Key words and phrases. frames; Banach frames; exact Banach frames;
D O I：
10.28924/2291-8639-22-2024-140
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we have defined mu -exact and finitely exact Banach frames and discuss their existence and relationship. A necessary condition for the existence of a mu -exact Banach frame is given. Also, we discuss quasicomplementary subspaces and prove a result using exact Banach frames. Finally, as an application, we discuss boundedness of an isometry using exact retro Banach frame sequences.
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页数：8
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