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Robustness of controlled fusion frames under erasures of subspaces and the approximation operator
- Publication Year :
- 2021
-
Abstract
- Controlled frames which presented to improve the numerical output of iterative algorithms for inverting the frame operator, have been introduced by Balazs and et al. Also, these frames are used by Bogdanova and et al. for spherical wavelets. In this note, we aim to study some new results about controlled fusion frames and behavior of them under erasures. Finally, we will introduce the approximation operator for these frames and a result of the composition of the operators of two controlled fusion frames will be proved.
- Subjects :
- Mathematics - Functional Analysis
Primary 42C15, Secondary 46C99, 41A58
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2107.05711
- Document Type :
- Working Paper