Some New Results of Weaving K-Frames in Hilbert Spaces. (21st May 2021)

• Record Type: Journal Article
• Authors: Xiang, Zhong-Qi
• Is Part Of: Numerical functional analysis and optimization. Volume 42:Number 4(2021)
• Page Start: 409
• Page End: 429
• Publication Date: 2021-05-21
• Subjects: PRIMARY 42C15 -- 42C40 -- SECONDARY 65T60 -- 47B40; Operator perturbation -- pseudo-inverse -- weaving frame -- weaving K-frame; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2021.1882488
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: 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.