arXiv subjects

Mohamad Nouri

Publications and source records attributed to Mohamad Nouri.

2 recordsLinked to original sources

arXiv2016

Controlled K-frames and their invariance under Compact Perturbation

K-frames were recently introduced by L. Gǎvruta 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.

math.FA↗

arXiv2016

Controlled K-frames in Hilbert Spaces

K-frames were recently introduced by L. Gǎvruta 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.

math.FA↗