Isometries and the complex state spaces of uniform algebras
β Scribed by A. J. Ellis; W. S. So
- Publisher
- Springer-Verlag
- Year
- 1987
- Tongue
- French
- Weight
- 393 KB
- Volume
- 195
- Category
- Article
- ISSN
- 0025-5874
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π SIMILAR VOLUMES
## Abstract We compute here the Borel complexity of the relation of isometry between separable Banach spaces, using results of Gao, Kechris [2], MayerβWolf [5], and Weaver [8]. We show that this relation is Borel bireducible to the universal relation for Borel actions of Polish groups. (Β© 2007 WILE
If | 1 , | 2 are two pure gauge-invariant states of the Cuntz algebra O d , we show that there is an automorphism : of O d such that | 1 =| 2 b :. If | is a general pure state on O d and . 0 is a given Cuntz state, we show that there exists an endomorphism : of O d such that . 0 =| b :.