The Spectral Scale of a Self-Adjoint Operator in a Semifinite von Neumann Algebra
2011 ◽
Vol 2011
◽
pp. 1-24
Keyword(s):
We extend Akemann, Anderson, and Weaver'sSpectral Scaledefinition to include selfadjoint operators fromsemifinitevon 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.
2008 ◽
Vol 19
(04)
◽
pp. 481-501
◽
2012 ◽
Vol 10
(2)
◽
pp. 241-277
◽
Keyword(s):
2005 ◽
Vol 08
(02)
◽
pp. 179-197
◽
2006 ◽
Vol 58
(4)
◽
pp. 768-795
◽
1971 ◽
Vol 23
(5)
◽
pp. 849-856
◽
1971 ◽
Vol 23
(4)
◽
pp. 598-607
◽