Loading [MathJax]/jax/output/CommonHTML/fonts/TeX/fontdata.js
Previous issue ·  Next issue ·  Most recent issue · All issues   
Home Overview Authors Editorial Contact Subscribe

Journal of Operator Theory

Volume 59, Issue 2, Spring 2008  pp. 247-262.

Refinements of spectral resolutions and modelling of operators in II1 factors

Authors Pedro G. Massey
Author institution: Departamento de Matemática-FCE, Universidad Nacional de La Plata, La Plata (CC 172) and Instituto Argentino de Matemática-CONICET, Buenos Aires, Argentina

Summary:  We study refinements between spectral resolutions in an arbitrary II1 factor \M and obtain diffuse (maximal) refinements of spectral resolutions. We construct models of operators with respect to diffuse spectral resolutions. As an application we obtain new characterizations of sub-majorization and spectral preorder between positive operators in \M and new versions of some known inequalities involving these preorders.


Contents    Full-Text PDF