Some Properties of Canonical Dual K-Bessel Sequences for Parseval K-Frames
Author
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-29
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The concept of canonical dual K-Bessel sequences was recently introduced, a deep study of which is helpful in further developing and enriching the duality theory of K-frames.
In this paper we pay attention to investigating the structure of the canonical dual K-Bessel sequence of a Parseval K-frame and some derived properties.
We present the exact form of the canonical dual K-Bessel sequence of a Parseval K-frame, and a necessary and sufficient condition for a dual K-Bessel sequence of a given Parseval K-frame to be the canonical dual K-Bessel sequence is investigated.
We also give a necessary and sufficient condition for a Parseval K-frame to have a unique dual K-Bessel sequence and equivalently characterize the condition under which the canonical dual K-Bessel sequence of a Parseval K-frame admits a unique dual K⁎-Bessel sequence.
Finally, we obtain a minimal norm property on expansion coefficients of elements in the range of K resulting from the canonical dual K-Bessel sequence of a Parseval K-frame.
American Psychological Association (APA)
Xiang, Zhong-Qi. 2019. Some Properties of Canonical Dual K-Bessel Sequences for Parseval K-Frames. Journal of Function Spaces،Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1174987
Modern Language Association (MLA)
Xiang, Zhong-Qi. Some Properties of Canonical Dual K-Bessel Sequences for Parseval K-Frames. Journal of Function Spaces No. 2019 (2019), pp.1-6.
https://search.emarefa.net/detail/BIM-1174987
American Medical Association (AMA)
Xiang, Zhong-Qi. Some Properties of Canonical Dual K-Bessel Sequences for Parseval K-Frames. Journal of Function Spaces. 2019. Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1174987
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174987