Controlled K-frames and their invariance under Compact Perturbation
Functional Analysis
2016-02-15 v1
Abstract
K-frames were recently introduced by L. G\v{a}vruta in Hilbert spaces to study atomic systems with respect to bounded linear operator. Also controlled frames have been recently introduced by Balazs, Antoine and Grybos in Hilbert spaces to improve the numerical efficiency of interactive algorithms for inverting the frame operator. In this manuscript, the concept of controlled K-frames will be studied and the stability of Controlled K-frames under compact perturbation will be discussed.
Keywords
Cite
@article{arxiv.1602.03982,
title = {Controlled K-frames and their invariance under Compact Perturbation},
author = {Asghar Rahimi and Shahram Najafzadeh and Mohamad Nouri},
journal= {arXiv preprint arXiv:1602.03982},
year = {2016}
}
Comments
11 pages in Caspian Journal of Applied Mathematics, Ecology and Economics, 2016. arXiv admin note: text overlap with arXiv:1506.07691 by other authors