Approximation of the Inverse Frame Operator and Stability of Hilbert$-$Schmidt Frames
Functional Analysis
2017-06-26 v2
Abstract
In this paper, we study the HilbertSchmidt frame (HS-frame) theory for separable Hilbert spaces. We first present some characterizations of HS-frames and prove that HS-frames share many important properties with frames. Then, we show how the inverse of the HS-frame operator can be approximated using finite-dimensional methods. Finally, we present a classical perturbation result and prove that HS-frames are stable under small perturbations.
Keywords
Cite
@article{arxiv.1704.02541,
title = {Approximation of the Inverse Frame Operator and Stability of Hilbert$-$Schmidt Frames},
author = {Anirudha Poria},
journal= {arXiv preprint arXiv:1704.02541},
year = {2017}
}
Comments
22 pages