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arXiv · 1508.07353

Improved bounds in Weaver and Feichtinger Conjectures

Marcin Bownik·Peter G. Casazza·Adam W. Marcus·Darrin Speegle
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Abstract

We sharpen the constant in the $KS_2$ 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.

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Marcin Bownik, Peter G. Casazza, Adam W. Marcus, Darrin Speegle. 2015-08-28. Improved bounds in Weaver and Feichtinger Conjectures. https://arxiv.org/abs/1508.07353

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