Improved bounds in Weaver and Feichtinger Conjectures
Functional Analysis
2016-06-20 v2
Abstract
We sharpen the constant in the conjecture of Weaver \cite{We}, which was validated by Marcus, Spielman, and Srivastava \cite{MSS} in their solution of the Kadison--Singer problem. We then apply this result to prove optimal asymptotic bounds on the size of partitions in the Feichtinger conjecture.
Keywords
Cite
@article{arxiv.1508.07353,
title = {Improved bounds in Weaver and Feichtinger Conjectures},
author = {Marcin Bownik and Peter G. Casazza and Adam W. Marcus and Darrin Speegle},
journal= {arXiv preprint arXiv:1508.07353},
year = {2016}
}