Some New Results of Weaving K-Frames in Hilbert Spaces

In this article, we first provide some sufficient conditions, and necessary and sufficient conditions for K-woven frames to be preserved under a bounded linear operator and particularly, we report that applying two different operators to K-woven frames can leave them K-woven. Several new methods on...

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Bibliographic Details
Published inNumerical functional analysis and optimization Vol. 42; no. 4; pp. 409 - 429
Main Author Xiang, Zhong-Qi
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 21.05.2021
Taylor & Francis Ltd
Subjects
Frames
Hilbert space
Linear operators
Operator perturbation
Perturbation
PRIMARY 42C15
pseudo-inverse
SECONDARY 65T60
weaving frame
weaving K-frame
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Summary:In this article, we first provide some sufficient conditions, and necessary and sufficient conditions for K-woven frames to be preserved under a bounded linear operator and particularly, we report that applying two different operators to K-woven frames can leave them K-woven. Several new methods on the construction of K-woven frames are also presented. Finally we show that the perturbation condition involved in one known result on K-woven frames can have a wider choice for the corresponding K-frames.
ISSN:0163-0563
1532-2467
DOI:10.1080/01630563.2021.1882488