Extension Problems and Stable Ranks

A Space Odyssey

Authors: Mortini, Raymond, Rupp, Rudolf

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  • 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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eBook $219.00
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  • ISBN 978-3-030-73872-3
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Hardcover $279.99
price for USA in USD
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  • Due: September 3, 2021
  • ISBN 978-3-030-73871-6
  • Free shipping for individuals worldwide
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  • Covid-19 shipping restrictions
About this book

This self-contained encyclopedic monograph gives a detailed introduction to Bézout equations and stable ranks, encompassing and explaining needed topological, analytical, and algebraic tools and methods. Some of the highlights included are Carleson's corona theorem and the Bass, topological, and matricial stable ranks.
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.

About the authors

RAYMOND MORTINI, born 1958, is professor emeritus at the Université de Lorraine in Metz (France) and, since 2020, guest researcher at the University of Luxembourg, his home country. He obtained his Ph.D. (1984) and habilitation (1988) at the University of Karlsruhe (Germany) and was hired by the Université de Metz in 1995. From 2017-2020 he hold his courses at the University of Luxembourg, still being affiliated with the Université de Lorraine. His main interests lie in function theory, functional analysis, operator theory and point set topology. Currently he is in the editorial board of three Springer journals. 
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.

Table of contents (36 chapters)

Table of contents (36 chapters)

Buy this book

eBook $219.00
price for USA in USD
  • ISBN 978-3-030-73872-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $279.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: September 3, 2021
  • ISBN 978-3-030-73871-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
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Bibliographic Information

Bibliographic Information
Book Title
Extension Problems and Stable Ranks
Book Subtitle
A Space Odyssey
Authors
Copyright
2021
Publisher
Birkhäuser Basel
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-73872-3
DOI
10.1007/978-3-030-73872-3
Hardcover ISBN
978-3-030-73871-6
Edition Number
1
Number of Pages
XXII, 2176
Number of Illustrations
151 illustrations in colour
Topics