The Spectral Scale of a Self-Adjoint Operator in a Semifinite von Neumann Algebra

Abstract EN

We extend Akemann, Anderson, and Weaver's Spectral Scale definition to include selfadjoint operators from semifinite von Neumann algebras.

New illustrations of spectral scales in both the finite and semifinite von Neumann settings are presented.

A counterexample to a conjecture made by Akemann concerning normal operators and the geometry of the their perspective spectral scales (in the finite setting) is offered.