Department of Mathematics and Statistics, California State University, Chico, 400 West First Street, Chico, CA 95928-0525, USA
Academic Editor: Ilya M. Spitkovsky
Copyright © 2011 Christopher M. Pavone. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.