Controlled K-frames in Hilbert Spaces
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 P. Balazs in Hilbert spaces to improve the numerical efficiency of interactive algorithms for inverting the frame operator. In this manuscript, we will define the concept of the controlled K-frames and will show that controlled K-frames are equivalent to K-frames and so the controlled operator C can be used as preconditions in applications.
Keywords
Cite
@article{arxiv.1602.03984,
title = {Controlled K-frames in Hilbert Spaces},
author = {Asghar Rahimi and Shahram Najafzadeh and Mohamad Nouri},
journal= {arXiv preprint arXiv:1602.03984},
year = {2016}
}
Comments
10 pages. arXiv admin note: text overlap with arXiv:1602.03982