Duality and operator algebras

Details Duality and operator algebras Duality and operator algebras

2004-07-13

arxiv.org/abs/math/0407220v2

Mathematics

Operator Algebras

19 pages (An error corrected, and results slightly reordered)

Scientific paper

We investigate some subtle and interesting phenomena in the duality theory of operator spaces and operator algebras. In particular, we give several applications of operator space theory, based on the surprising fact that certain maps are always $w^*$-continuous on dual operator spaces. For example, this yields a new characterization of the $\sigma$-weakly closed (possibly nonunital and nonselfadjoint) operator algebras, and it makes possible a generalization of the theory of $W^*$-modules to the framework of modules over such algebras. We also give a Banach module characterization of $\sigma$-weakly closed spaces of operators which are invariant under the action of a von Neumann algebra.

Affiliated with

Also associated with

No associations

Rating

Duality and operator 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 Duality and operator algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Duality and operator algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-141261