Not all pure states on B(H) are diagonalizable
Operator Algebras
2007-05-23 v1 Functional Analysis
Logic
Abstract
Assuming the continuum hypothesis, we prove that B(H) has a pure state whose restriction to any masa is not pure. This resolves negatively an old conjecture of Anderson.
Cite
@article{arxiv.math/0606168,
title = {Not all pure states on B(H) are diagonalizable},
author = {Charles Akemann and Nik Weaver},
journal= {arXiv preprint arXiv:math/0606168},
year = {2007}
}
Comments
3 pages