Construct approximate dual g-frames in Hilbert spaces. Issue 2 (25th January 2021)

• Record Type: Journal Article
• Authors: Guo, Qianping; Leng, Jingsong; Li, Houbiao
• Is Part Of: Linear & multilinear algebra. Volume 69:Issue 2(2021)
• Page Start: 245
• Page End: 258
• Publication Date: 2021-01-25
• Subjects: Hwa-Long Guo; Frame -- bounded linear operator -- erasure; 42C15 -- 47b38 -- 41A58; Algebras, Linear -- Periodicals; Multilinear algebra -- Periodicals; 512.505
• DOI: 10.1080/03081087.2019.1593924
• Languages: English
• ISSNs: 0308-1087

Abstract

Abstract : In this paper, we first present some simple approaches to obtain dual and approximate dual g-frames. Then, we show that approximate dual g-frames are stable under some conditions. Finally, we give mainly a new characterization for approximate dual g-frames associated with given g-frames and bounded operators. Moreover, we prove that if two g-frames are close to each other, then we can find approximate dual g-frames associated with them which are close to each other.