Finite extensions of Bessel sequences
Functional Analysis
2016-04-21 v3
Abstract
The paper studies finite extensions of Bessel sequences in infinite-dimensional Hilbert spaces. We provide a characterization of Bessel sequences that can be extended to frames by adding finitely many vectors. We also characterize frames that can be converted to Parseval frames by finite-dimensional perturbations. Finally, some results on excesses of frames and near-Riesz bases are derived.
Keywords
Cite
@article{arxiv.1308.5709,
title = {Finite extensions of Bessel sequences},
author = {Damir Bakić and Tomislav Berić},
journal= {arXiv preprint arXiv:1308.5709},
year = {2016}
}
Comments
13 pages