The eigenvectors of semigroups of positive maps on von Neumann algebras

Details The eigenvectors of semigroups of positive maps on von Neumann algebras The eigenvectors of semigroups of positive maps on von Neumann algebras

2009-11-23

arxiv.org/abs/0911.4434v1

Mathematics

Operator Algebras

The full version will appear in Ergodic Theory and Dynamical Systems (2009). A preliminary (and somewhat more elaborate) versi

Scientific paper

The eigenvectors of an ergodic semigroup of linear normal positive unital maps on a von Neumann algebra are described. Moreover, it is shown by means of examples, that mere positivity of the maps in question is not sufficient for Frobenius theory as in S. Albeverio and R. H\{o}egh-Krohn, \emph{Frobenius theory of positive maps of von Neumann algebras}, Comm. Math. Phys. \textbf{64} (1978), 83--94, to hold.

Affiliated with

Also associated with

No associations

Rating

The eigenvectors of semigroups of positive maps on von Neumann algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The eigenvectors of semigroups of positive maps on von Neumann algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The eigenvectors of semigroups of positive maps on von Neumann algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-173401