Multiplicative maps on ideals of operators which are local automorphisms

Details Multiplicative maps on ideals of operators which are local automorphisms Multiplicative maps on ideals of operators which are local automorphisms

1999-09-09

arxiv.org/abs/math/9909046v1

Mathematics

Operator Algebras

8 pages. To appear in Acta Sci. Math. (Szeged)

Scientific paper

We present the following reflexivity-like result concerning the automorphism group of the $C^*$-algebra B(H), H being a separable Hilbert space. Let $\phi:B(H)\to B(H)$ be a multiplicative map (no linearity or continuity is assumed) which can be approximated at every point by automorphisms of B(H) (these automorphisms may, of course, depend on the point) in the operator norm. Then $\phi$ is an automorphism of the algebra B(H).

Affiliated with

Also associated with

No associations

Rating

Multiplicative maps on ideals of operators which are local automorphisms 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 Multiplicative maps on ideals of operators which are local automorphisms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multiplicative maps on ideals of operators which are local automorphisms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-540086