Authors:
- Includes open problems
- Suitable for graduate students
- Gathers recent results in book form
Part of the book series: Monografie Matematyczne (MONOGRAFIE, volume 75)
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Table of contents (52 chapters)
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Front Matter
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An Introductory Course in Renorming
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Front Matter
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An Intermediate Course in Renorming
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Front Matter
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About this book
This monograph presents an up-to-date panorama of the different techniques and results in the large field of renorming in Banach spaces and its applications. The reader will find a self-contained exposition of the basics on convexity and differentiability, the classical results in building equivalent norms with useful properties, and the evolution of the subject from its origin to the present days. Emphasis is done on the main ideas and their connections.
The book covers several goals. First, a substantial part of it can be used as a text for graduate and other advanced courses in the geometry of Banach spaces, presenting results together with proofs, remarks and developments in a structured form. Second, a large collection of recent contributions shows the actual landscape of the field, helping the reader to access the vast existing literature, with hints of proofs and relationships among the different subtopics. Third, it can be used as a reference thanks to comprehensivelists and detailed indices that may lead to expected or unexpected information.
Both specialists and newcomers to the field will find this book appealing, since its content is presented in such a way that ready-to-use results may be accessed without going into the details. This flexible approach, from the in-depth reading of a proof to the search for a useful result, together with the fact that recent results are collected here for the first time in book form, extends throughout the book. Open problems and discussions are included, encouraging the advancement of this active area of research.
Reviews
Authors and Affiliations
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Departamento de Matemática Aplicada, Universitat Politècnica de València, Valencia, Spain
Antonio José Guirao, Vicente Montesinos
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University of Alberta, Edmonton, Canada
Václav Zizler
Bibliographic Information
Book Title: Renormings in Banach Spaces
Book Subtitle: A Toolbox
Authors: Antonio José Guirao, Vicente Montesinos, Václav Zizler
Series Title: Monografie Matematyczne
DOI: https://doi.org/10.1007/978-3-031-08655-7
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 2022
Hardcover ISBN: 978-3-031-08654-0Published: 24 August 2022
Softcover ISBN: 978-3-031-08657-1Published: 25 August 2023
eBook ISBN: 978-3-031-08655-7Published: 23 August 2022
Series ISSN: 0077-0507
Series E-ISSN: 2297-0274
Edition Number: 1
Number of Pages: XXVI, 625
Number of Illustrations: 108 b/w illustrations
Topics: Functional Analysis