Some Properties of K-Frames in Quaternionic Hilbert Spaces

被引：8
|
作者：
Ellouz, Hanen [1 ]
机构：
[1] Fac Sci Sfax, Dept Math, BP 1171, Sfax 3000, Tunisia
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2020年 / 14卷 / 01期
关键词：
Frames; K-frames; Bessel sequence; Quaternionic Hilbert spaces;
D O I：
10.1007/s11785-019-00964-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we discuss some properties of K-frames in quaternionic Hilbert spaces such as the invertibility of the frame operator as well as the interchangeability of two Bessel sequences. Further, we propose several approaches to construct K-frames and we show that a T-frame can be constructed from a K-frame by the perturbation of a bounded linear operator T. Finally, we study the stability of K-frames under some perturbations.
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页数：19
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