PERTURBATION OF CONTINUOUS FRAMES ON QUATERNIONIC HILBERT SPACES

被引：0

作者：

Khokulan, M. ^{[1
]}

Thirulogasanthar, K. ^{[2
]}

机构：

[1] Univ Jaffna, Dept Math & Stat, Thirunelveli, Jaffna, Sri Lanka

[2] Concordia Univ, Dept Comp Sci & Software Engn, 1455 Maisonneuve Blvd West, Montreal, PQ H3G 1M8, Canada

来源：

OPERATORS AND MATRICES | 2024年 / 18卷 / 02期

关键词：

Quaternions; quaternion Hilbert spaces; frames; frame multipliers; OPERATORS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we explore the theory of continuous frame perturbations in the quaternion settings by inspiration of the well-developed theory of perturbing discrete frames in complex Hilbert spaces. We examine the perturbation of continuous frames of rank n , including Bessel and Riesz families, within right quaternionic Hilbert spaces. We also investigate some results on the bounds of perturbing continuous frames under some conditions.

引用

页码：295 / 317

页数：23

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