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Constructing Controlled K-Frames via Operatorsopen accessConstructing Controlled $\mathcal{K}$-Frames via Operators
- Other Titles
- Constructing Controlled $\mathcal{K}$-Frames via Operators
- Authors
- Oustani, Salah Eddine; Park, Choonkil
- Issue Date
- Mar-2026
- Publisher
- Sidi Mohamed Ben Abdellah University
- Keywords
- Controlled K-frames; EP operator; regular operator
- Citation
- Moroccan Journal of Pure and Applied Analysis, v.12, no.1, pp 12 - 21
- Pages
- 10
- Indexed
- SCOPUS
- Journal Title
- Moroccan Journal of Pure and Applied Analysis
- Volume
- 12
- Number
- 1
- Start Page
- 12
- End Page
- 21
- ISSN
- 2605-6364
2351-8227
- Abstract
- The theory of frames have become a useful tool in signal processing, allowing uniform descrip-tion of many linear but non-orthogonal transform techniques. The main purpose of the paper is to establish an operator theoretic approach for constructing controlled K-frames in Hilbert spaces from operators satis-fying suitable properties.
The theory of frames have become a useful tool in signal processing, allowing uniform description of many linear but non-orthogonal transform techniques. The main purpose of the paper is to establish an operator theoretic approach for constructing controlled $ \mathcal{K}$-frames in Hilbert spaces from operators satisfying suitable properties.
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