State Extensions and the Kadison-singer Problem
نویسندگان
چکیده
These notes outline some ideas for approaching the KadisonSinger problem.
منابع مشابه
ar X iv : m at h / 06 11 51 3 v 1 [ m at h . O A ] 1 6 N ov 2 00 6 KADISON – SINGER FROM MATHEMATICAL PHYSICS : AN INTRODUCTION
We give an informal overview of the Kadison–Singer problem with emphasis on its initial connections to Dirac's formulation of quantum mechanics. Let H be an infinite dimensional separable Hilbert space, and B (H) the algebra of all bounded operators in H. In the language of operator algebras, the Kadison–Singer problem asks whether or not for a given MASA D in B (H), every pure state on D has a...
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