Characterization, Dilation, and Perturbation of Basic Continuous Frames
A vector-valued function is called a basic continuous frame if it is a continuous frame for its spanning space. It is shown in this article that basic continuous frames and their oblique duals can be characterized by operators with closed ranges. Furthermore, we show that any oblique dual pair of ba...
Saved in:
Main Authors: | Xin Zhao, Pengtong Li |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2022-01-01
|
Series: | Journal of Mathematics |
Online Access: | http://dx.doi.org/10.1155/2022/3270281 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Weaving Frames in Hilbert C∗-Modules
by: Xin Zhao, et al.
Published: (2021-01-01) -
Perturbation and Stability of Continuous Operator Frames in Hilbert C∗-Modules
by: Abdeslam Touri, et al.
Published: (2021-01-01) -
New Characterizations of Riesz-Type Frames and Stability of Alternate Duals of Continuous Frames
by: Zhong-Qi Xiang
Published: (2013-01-01) -
Some Generalizations of Relay Fusion Frames and F,G-Relay Fusion Frames in Hilbert C∗-Modules
by: Xiujiao Chi, et al.
Published: (2023-01-01) -
On Characterizations of Fourier Frames and Tilings
by: Dao-Xin Ding, et al.
Published: (2013-01-01)