Research articles
ScienceAsia (): 285-291 |doi:
10.2306/scienceasia1513-1874...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 : j ∈ J} and {Γj : j ∈ J} or the types {Λj T1∗ : j ∈ J} and {Γj T2∗ : j ∈ J} can be K-woven in R(K), where T1, T2 are
surjective operators on U .
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| 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
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