GENERALIZED CONTINUOUS K-WEAVING FRAMES

被引：0
|
作者：
Shipra [1 ]
Shekhar, Chander [2 ]
Chugh, Renu [1 ]
机构：
[1] Maharshi Dayanand Univ, Dept Math, Rohtak 124001, Haryana, India
[2] Univ Delhi, Dept Math, Indraprastha Coll Women, Delhi 110007, India
来源：
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS | 2022年 / 15卷 / 4B期
关键词：
Weaving frames; Continuous frame;
D O I：
10.47013/15.4.21
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Motivated with the study of discrete weaving frames by Bemrose et al. in 2015, we study generalized continuous K-weaving frames in Hilbert spaces and prove some new basic properties. Also, we prove a sufficient condition for generalized continuous K-frame to be woven. Further, we prove that generalized continuous K-weaving frames remain woven under invertible operator. Finally, we give Paley-Wiener type perturbation results for generalized continuous K-weaving frames.
引用
收藏
页码：1111 / 1126
页数：16
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