| Issue |
MATEC Web Conf.
Volume 355, 2022
2021 International Conference on Physics, Computing and Mathematical (ICPCM2021)
|
|
|---|---|---|
| Article Number | 02001 | |
| Number of page(s) | 8 | |
| Section | Mathematical Science and Application | |
| DOI | https://doi.org/10.1051/matecconf/202235502001 | |
| Published online | 12 January 2022 | |
Some results about g-frames in Hilbert spaces
School of Mathematical Sciences, University of Electronic Science and Technology of China, Sichuan, China
* Corresponding author: lengjs@uestc.edu.cn
The concept of g-frame is a natural extension of the frame. This article mainly discusses the relationship between some special bounded linear operators and g-frames, and characterizes the properties of g-frames. In addition, according to the operator spectrum theory, the eigenvalues are introduced into the g-frame theory, and a new expression of the best frame boundary of the g-frame is given.
Key words: g-frames / Orthogonal projection / Eigenvalues
© The Authors, published by EDP Sciences, 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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