Previous issue ·  Next issue ·  Most recent issue · All issues   
Home Overview Authors Editorial Contact Subscribe

Journal of Operator Theory

Volume 64, Issue 2, Fall 2010  pp. 435-452.

Inclusions and positive cones of von Neumann algebras

Authors Yoh Tanimoto
Author institution: Graduate school of mathematical sciences, University of Tokyo, Komaba, Tokyo, 153-8914, Japan

Summary:  We consider cones in a Hilbert space associated to two von Neumann algebras and determine when one algebra is included in the other. If a cone is associated to a von Neumann algebra, the Jordan structure is naturally recovered from it and we can characterize projections of the given von Neumann algebra with the structure in some special situations.

Contents    Full-Text PDF