Measurable selector in Kadison's carpenter's theorem
Functional Analysis
2018-03-12 v1
Abstract
We show the existence of a measurable selector in Carpenter's Theorem due to Kadison. This solves a problem posed by Jasper and the first author. As an application we obtain a characterization of all possible spectral functions of shift-invariant subspaces of and Carpenter's Theorem for type I von Neumann algebras.
Cite
@article{arxiv.1803.03632,
title = {Measurable selector in Kadison's carpenter's theorem},
author = {Marcin Bownik and Marcin Szyszkowski},
journal= {arXiv preprint arXiv:1803.03632},
year = {2018}
}