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• # Artykuł - szczegóły

## Banach Center Publications

2006 | 73 | 1 | 363-375

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

EN

### Abstrakty

EN
Surjective isometries between unital C*-algebras were classified in 1951 by Kadison [K]. In 1972 Paterson and Sinclair [PS] 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 [Y] and the author [S1], 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 $L^p$ spaces, extending the main results of [S1] to 0 < p ≤ 1.

363-375

wydano
2006

### Twórcy

autor
• Department of Mathematics, University of California, Santa Barbara, CA 93106, U.S.A.