Majorisation and Kadison's Carpenter's Theorem
Mart\'in Argerami
TL;DR
This paper explores Kadison's Carpenter's Theorem through the lens of majorisation theory and provides a new proof of a key characterization of diagonals of orthogonal projections.
Contribution
It introduces a novel proof of Kadison's Theorem 15 using majorisation, enhancing understanding of the theorem's foundational aspects.
Findings
New proof of Kadison's Theorem 15
Characterization of diagonals of orthogonal projections
Application of majorisation in operator theory
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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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Mathematical Inequalities and Applications · Matrix Theory and Algorithms