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We apply Srivastava's spectral sparsification technique to a vector balancing version of the Kadison-Singer problem.
R. Kadison and I. Singer, Extensions of pure states, Amer. J. Math
1959
Earlier work this paper cites.
C. Akemann and J. Anderson, Lyapunov theorems for operator algebras, Mem. Amer. Math. Soc
1991
Earlier work this paper cites.
———, The continuous Beck-Fiala theorem is optimal, Discrete Math
1995
Earlier work this paper cites.
N. Weaver, The Kadison-Singer problem in discrepancy theory, Discrete Math
2004
Cited alongside, same era.
N. Srivastava, Spectral Sparsification and Restricted Invertibility
2010
Cited alongside, same era.
T. Bice, Filters on C*-algebras, to appear in Canad. J. Math
Cited in the paper.
N. Katz, personal communication
Cited in the paper.
D. Spielman and N. Srivastava, An elementary proof of the restricted invertibility theorem, Israel J. Math
2012
Later among the works it cites.
P. Casazza and J. Tremain, The Kadison-Singer problem in mathematics and engineering, Proc. Natl. Acad. Sci. USA
2039
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