Generalized frames and controlled operators in Hilbert space
Functional Analysis
2019-12-19 v1
Abstract
Controlled frames and g-frames were considered recently as generalizations of frames in Hilbert spaces. In this paper we generalize some of the known results in frame theory to controlled g-frames. We obtain some new properties of controlled g-frames and obtain new controlled g-frames by considering controlled g-frames for its components. And we obtain some new resolutions of the identity. Furthermore, we study the stabilities of controlled g-frames under small perturbations.
Cite
@article{arxiv.1709.00585,
title = {Generalized frames and controlled operators in Hilbert space},
author = {Dongwei Li and Jinsong Leng},
journal= {arXiv preprint arXiv:1709.00585},
year = {2019}
}