Authors:
- The first monograph on the Bass and topological stable rank for analysts
- Contains all relevant material written in an easily readable way to attack problems in this very active domain
- Gives an introduction to topology and Banach algebras, featuring, in particular, real Banach algebras
- Presents several advanced topics in complex analysis, thus accessible also for students and lecturers, and a good basis for seminars and advanced courses
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Table of contents (36 chapters)
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Front Matter
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Topological structures and Banach algebras
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Front Matter
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About this book
The first volume focusses on topological structures, Banach algebras, and advanced function theory, thus preparing the stage for the algebraic structures in the second volume towards examining stable ranks with analytic methods. The main emphasis is laid on algebras of holomorphic functions. Often a new approach is presented or at least a different angle of sight, which makes the book attractive both for researchers and students interested in these active fields of research.
Keywords
- topological spaces
- compact sets and continua
- function spaces and function algebras
- Hardy spaces
- Banach algebras
- continuous functions
- holomorphic functions
- almost periodic functions
- extension problems
- interpolation and approximation problems
- dbar-calculus
- Bézout equation
- Corona-theorem
- Bass stable rank
- topological stable rank
- dimension theory
Reviews
“The work under review is an encyclopedic two-volume treatise … . The book is clearly written and quite detailed, and includes an extensive bibliography, historical notes and an index.” (Michael T. Jury, Mathematical Reviews, October, 2023)
Authors and Affiliations
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CNRS, IECL, Université de Lorraine, Metz, France
Raymond Mortini
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Fakultät für Angewandte Mathematik, Physik und Allgemeinwissenschaften, Technische Hochschule Nürnberg, Georg Simon Ohm, Nürnberg, Germany
Rudolf Rupp
About the authors
RUDOLF RUPP, born 1960, is professor at the Nuremberg Institute of Technology, Georg-Simon-Ohm in Nuremberg, Germany. He obtained his Ph.D.(1988) and habilitation (1992) at the University of Karlsruhe (Germany), now called KIT. From 1999 until 2003 he persued a job outside the university. His research interests lie in function theory, Banach algebras and point set topology.
Bibliographic Information
Book Title: Extension Problems and Stable Ranks
Book Subtitle: A Space Odyssey
Authors: Raymond Mortini, Rudolf Rupp
DOI: https://doi.org/10.1007/978-3-030-73872-3
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-73871-6Published: 03 August 2021
eBook ISBN: 978-3-030-73872-3Published: 02 August 2021
Edition Number: 1
Number of Pages: XXII, 2176
Number of Illustrations: 1 b/w illustrations
Topics: Functions of a Complex Variable, Functional Analysis