Not all pure states on B(H) are diagonalizable

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.

3 pages

References in corpus (1)

• Consistency of a counterexample to Naimark's problem

Cited by in corpus (1)

• A Note On The Kadison-Singer Problem