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The Kadison-Singer problem in discrepancy theory

Nik Weaver

math.COarXiv:math/0209078

Abstract

We give a combinatorial form of the Kadison-Singer problem, a famous problem in C*-algebra. This combinatorial problem, which has several minor variations, is a discrepancy question about vectors in Cn. Some partial results can be easily deduced from known facts in discrepancy theory.

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