Majorisation and Kadison's Carpenter's Theorem

2013/04/04 by Martín Argerami, Argerami, Martín
Mathematics · #46L99 #47B15 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #math.FA #math.OA #msc:46L99 #msc:47B15

paper · pdf · doi:10.48550/arxiv.1304.1232

v4: minor formatting changes

arxiv created 2014/04/07 · arxiv updated 2016/08/11

Abstract

We discuss Kadison's Carpenter's Theorems in the context of majorisation, and we offer a new proof of his "Theorem 15", that characterizes the set of diagonals of orthogonal projections.

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