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, 42C10, 42C15. Keywords: Discrepancy theory , Walsh matrices, Walsh functions, frames in Euclidean space. 1 Introduction In 1959 Richard Kadison and Isadore Singer [11] formulated a problem in quantum ...
Abstract: We prove a matrix discrepancy bound that strengthens the famous Kadison - Singer result of Marcus, Spielman, and Srivastava. Consider any independent scalar random variables $\xi_1, \ldots ...
on Discrete Algorithms, 978–86 , Philadelphia , PA: SIAM , 2009 . [32] Weaver N. “The Kadison - Singer problem in discrepancy theory .” Discrete Math. 278 , no. 1–3 ( 2004 ): 227 – 39 . Google Scholar Crossref ...
norms. This conjecture, which implies a positive solution to the Kadison – Singer problem , is proven in [14] with the dependence |$r=(6/\epsilon )^8$| that arises as follows. First, the “one-sided” bound ...
.; Matteucci, W. V.; Schimmel, N. H.; Bartholomew, E. L., and Boger, W.: The Hydroiodide of Diethylaminoethyl Ester of Penicillin-G, Neo-Penil , Antibiotics & Chemother. 2:208, 1952. 47. (r) Kadison , E. R ...
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