Amenability, completely bounded projections, dynamical systems and smooth orbits

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We describe a general method to construct completely bounded idempotent mappings on operator spaces, starting from amenable semigroups of completely bounded mappings. We then explore several applications of that method to injective operator spaces, fixed points of completely contractive mappings, Toeplitz operators, dynamical systems and similarity orbits of group representat ions.
15 pages

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Operator Algebras, Differential Geometry, Primary 47L25; Secondary 46L07; 43A07

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http://salesiana.dossiersoluciones.com/handle/123456789/74907

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504313
 http://arxiv.org/abs/math/0504313

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arXiv