| Home  | About ScienceAsia  | Publication charge  | Advertise with us  | Subscription for printed version  | Contact us  
Editorial Board
Journal Policy
Instructions for Authors
Online submission
Author Login
Reviewer Login
Volume 45 Number 4
Volume 45 Number 3
Volume 45 Number 2
Volume 45 Number 1
Volume 44 Number 6
Volume 44 Number 5
Earlier issues
Volume 45 Number 2 Volume 45 Number 3 Volume 45 Number 4

previous article next article 1

Research articles

ScienceAsia 45(2019): 285-291 |doi: 10.2306/scienceasia1513-1874.2019.45.285


Weaving of K-g-frames in Hilbert spaces


Xiang-Chun Xiaoa,*, Guo-Rong Zhoua, Yu-Can Zhub

 
ABSTRACT:     In this study, we mainly discuss the weaving of K-g-frames in Hilbert spaces. Note that the concept of weaving was recently proposed by Bemrose et al to solve a question in distributed signal processing. We give a sufficient condition such that the left sequence can still be K-woven in R(K) by deleting some elements from a K-woven pair of K-g-frames. We then give three different types of perturbation conditions such that, under them, the K-g-frames {Λj : jJ} and {Γj : jJ} or the types {Λj T1 : jJ} and {Γj T2 : jJ} can be K-woven in R(K), where T1, T2 are surjective operators on U .

Download PDF

56 Downloads 122 Views


a Department of Mathematics, Xiamen University of Technology, Xiamen 361024 China
b Department of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116 China

* Corresponding author, E-mail: xxc570@163.com

Received 10 Jan 2019, Accepted 12 May 2019