Preface

This book is devoted to C•-algebras as a tool in numerical analysis. Some readers might consider the use of C•-algebras to study properties of approximation methods as unusual and exotic. We would like to encourage them to read and see for themselves the power of such techniques both for the investigation of very concrete discretization procedures and for establishing the theoretical foundation of numerical analysis. For a general overview of the fruitful interplay between C•-techniques, concrete operator theory, and numerical analysis and, thus, of the contents of this book, we refer the reader to the Introduction.