A Note on Frames in Quaternionic Hilbert Spaces

被引：0
|
作者：
Sharma, Sumit Kumar [1 ]
Sharma, Raksha [2 ]
机构：
[1] Univ Delhi, Kirori Mal Coll, Dept Math, Delhi 110007, India
[2] Univ Delhi, Kirori Mal Coll, Dept Phys, Delhi 110007, India
来源：
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2025年 / 22卷 / 01期
关键词：
Frames; Block frames; Quaterninic Hilbert space;
D O I：
10.22130/scma.2024.2025108.1666
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we define a modified version of frame in quaternionic Hilbert spaces (QHS) and give a necessary condition for a block Bessel sequence in terms of a bounded right linear operator. Also, a necessary and sufficient condition for a sequence to be a block Bessel sequence is given. Further, a method to construct a desired block frame using a given block frame is discussed. Finally, a characterization of block frame in terms of a right linear operator is given.
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页码：125 / 136
页数：13
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