This volume is mainly about three similarity problems arising in three different contexts, namely group representations, C-algebras and uniform algebras. These three problems are studied using a common tool, completely bounded maps, which have recently emerged as a major concept in operator algebra theory. The book is devoted to the background necessary to understand these problems, to the partial solutions that are known and to numerous related concepts and results. The book is mostly self-contained and accessible to graduate students mastering basic functional and harmonic analysis. For advanced readers, it can be an invitation to the recently developed theory of "operator spaces", for which completely bounded maps are the fundamental morphisms.
- ISBN10 3662195240
- ISBN13 9783662195246
- Publish Date 15 January 2014 (first published November 1995)
- Publish Status Withdrawn
- Out of Print 18 October 2014
- Publish Country US
- Imprint Springer
- Format Paperback (US Trade)
- Pages 212
- Language English