Constructive proof of the Carpenter's Theorem

Abstract

We give a constructive proof of Carpenter's Theorem due to Kadison. Unlike the original proof our approach also yields the real case of this theorem.

References in corpus (4)

• Diagonals of self-adjoint operators
• Diagonals of normal operators with finite spectrum
• A survey on the interplay between arithmetic mean ideals, traces, lattices of operator ideals, and an infinite Schur-Horn majorization theorem
• Majorisation and Kadison's Carpenter's Theorem

Cited by in corpus (4)

• Thompson's theorem for compact operators and diagonals of unitary operators
• On diagonals of operators: selfadjoint, normal and other classes
• Majorisation and Kadison's Carpenter's Theorem
• Diagonals of operators and Blaschke's enigma