Improved bounds in Weaver and Feichtinger Conjectures

Published 28 Aug 2015 in math.FA | (1508.07353v2)

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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