Zero product preservers of C*-algebras

Details Zero product preservers of C*-algebras Zero product preservers of C*-algebras

2007-08-28

arxiv.org/abs/0708.3718v1

Mathematics

Operator Algebras

4 pages,to appear in the ``Proceedings of the Fifth Conference on Function Space'', Contemporary Math

Scientific paper

Let T be be a zero-product preserving bounded linear map between C*-algebras A and B. Here neither A nor B is necessarily unital. In this note, we investigate when T gives rise to a Jordan homomorphism. In particular, we show that A and B are isomorphic as Jordan algebras if T is bijective and sends zero products of self-adjoint elements to zero products. They are isomorphic as C*-algebras if T is bijective and preserves the full zero product structure.

Affiliated with

Also associated with

No associations

Rating

Zero product preservers of C*-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 Zero product preservers of C*-algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Zero product preservers of C*-algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-362863