Le Problème de Kadison-Singer

Abstract

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The Kadison-Singer problem

“…Tanbay [41] has given a nice entertaining historical perspective on the Kadison-Singer problem. Matheron [36] gives a long and exhaustive exposition (in French), primarily from the viewpoint of operator algebras. Valette [44] has written a Bourbaki exposition (in French).…”

“…While a lot has been written about Kadison-Singer problem before it was solved [12,15,16,17,18,19,21] and after its solution [23,36,41,42,43,44], we believe that there is still a space and an interest for yet another presentation which would present consequences of the solution of Kadison-Singer problem in an optimized form. We have aimed at presenting the material in a modular form as a sequence of implications which are largely independent of each other.…”