A new proof of the noncommutative Banach-Stone theorem

Details A new proof of the noncommutative Banach-Stone theorem A new proof of the noncommutative Banach-Stone theorem

2004-09-24

arxiv.org/abs/math/0409488v1

Mathematics

Operator Algebras

12 pages

Scientific paper

Surjective isometries between unital C*-algebras were classified in 1951 by Kadison. In 1972 Paterson and Sinclair handled the nonunital case by assuming Kadison's theorem and supplying some supplementary lemmas. Here we combine an observation of Paterson and Sinclair with variations on the methods of Yeadon and the author, producing a fundamentally new proof of the structure of surjective isometries between (nonunital) C*-algebras. In the final section we indicate how our techniques may be applied to classify surjective isometries of noncommutative Lp spaces, extending some recent results of the author to 0 < p leq 1.

Affiliated with

Also associated with

No associations

Rating

A new proof of the noncommutative Banach-Stone theorem 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 A new proof of the noncommutative Banach-Stone theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A new proof of the noncommutative Banach-Stone theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-631335