Groups of Banach space isometries
✍ Scribed by P. Legiša
- Publisher
- Akadmiai Kiad
- Year
- 1981
- Tongue
- English
- Weight
- 357 KB
- Volume
- 38
- Category
- Article
- ISSN
- 1588-2632
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## Abstract We introduce the notion of an __m__‐isometry of a Banach space, following a definition of Agler and Stankus in the Hilbert space setting. We give a first approach to the general theory of these maps. Then, we focus on the dynamics of __m__‐isometries, showing that they are never __N__‐s
We describe the structure of the isometry group G of a finite-dimensional bilinear space over an algebraically closed field of characteristic not two. If the space has no indecomposable degenerate orthogonal summands of odd dimension, it admits a canonical orthogonal decomposition into primary comp