Improved bounds in Weaver and Feichtinger conjectures
Abstract
We sharpen the constant in the KS 2 {\mathrm{KS}_{2}} Conjecture of Weaver [31] that was given by Marcus, Spielman and Srivastava [28] 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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Aug 30, 2016
- Source ID
- 10.1515/crelle-2016-0032
Entities
People
- Adam W. Marcus
- Darrin Speegle
- Marcin Bownik
- Pete Casazza
Organizations
- Army Research Office
- National Science Foundation
- Princeton University
- Saint Louis University
- Simons Foundation
- University of Missouri
- University of Oregon