English

The Kadison-Singer problem in discrepancy theory

Combinatorics 2007-05-23 v1 Functional Analysis Operator Algebras

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 C^n. Some partial results can be easily deduced from known facts in discrepancy theory.

Cite

@article{arxiv.math/0209078,
  title  = {The Kadison-Singer problem in discrepancy theory},
  author = {Nik Weaver},
  journal= {arXiv preprint arXiv:math/0209078},
  year   = {2007}
}

Comments

13 pages