Integral Equations and Operator Theory

, Volume 82, Issue 1, pp 33–49 | Cite as

Majorisation and the Carpenter’s Theorem

Article

Abstract

We discuss Kadison’s Carpenter’s Theorems in the context of their relation to majorisation, and we offer a new proof of his striking characterisation of the set of diagonals of orthogonal projections on Hilbert space.

Keywords

Majorisation majorization Schur–Horn theorem Carpenter’s theorem 

Mathematics Subject Classification

Primary 47B15 Secondary 46L99 47C15 

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© Springer Basel 2014

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsUniversity of ReginaReginaCanada

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