Maximum Robustness and Surgery of Frames in finite dimensions
Functional Analysis
2013-03-06 v1
Abstract
We consider frames in a finite-dimensional Hilbert space Hn where frames are exactly the spanning sets of the vector space. We present a method to determine the maximum robustness of a frame. We present results on tight subframes and surgery of frames. We also answer the question of when length surgery resulting in a tight frame set for Hn is possible.
Keywords
Cite
@article{arxiv.1303.1163,
title = {Maximum Robustness and Surgery of Frames in finite dimensions},
author = {Martin S. Copenhaver and Yeon Hyang Kim and Cortney Logan and Kyanne Mayfield and Sivaram K. Narayan and Jonathan Sheperd},
journal= {arXiv preprint arXiv:1303.1163},
year = {2013}
}
Comments
This work was done as a part of the REU program in Summer 2011. Submitted