Some Properties of K-Frames in Quaternionic Hilbert Spaces

被引：11

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.

引用

页数：19