Local automorphisms of operator algebras on Banach spaces

Details Local automorphisms of operator algebras on Banach spaces Local automorphisms of operator algebras on Banach spaces

2002-09-06

arxiv.org/abs/math/0209059v1

Mathematics

Operator Algebras

9 pages. To appear in Proc. Amer. Math. Soc

Scientific paper

In this paper we extend a result of Semrl stating that every 2-local automorphism of the full operator algebra on a separable infinite dimensional Hilbert space is an automorphism. In fact, besides separable Hilbert spaces, we obtain the same conclusion for the much larger class of Banach spaces with Schauder bases. The proof rests on an analogous statement concerning the 2-local automorphisms of matrix algebras of which statement we present a short proof. The need to get such a proof was formulated in Semrl's paper.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-670125