Groupoid Metrization Theory
With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis
Seiten
2012
|
2013 ed.
Birkhauser Boston Inc (Verlag)
978-0-8176-8396-2 (ISBN)
Birkhauser Boston Inc (Verlag)
978-0-8176-8396-2 (ISBN)
The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry. The presentation is self-contained with complete, detailed proofs, and a large number of examples and counterexamples are provided.
Unique features of Metrization Theory for Groupoids: With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis include:
* treatment of metrization from a wide, interdisciplinary perspective, with accompanying applications ranging across diverse fields;
* coverage of topics applicable to a variety of scientific areas within pure mathematics;
* useful techniques and extensive reference material;
* includes sharp results in the field of metrization.
Professional mathematicians with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. At the same time, the monograph is accessible and will be of use to advanced graduate students and to scientifically trained readers with an interest in the interplay among topology and metric properties and/or functional analysis and metric properties.
* coverage of topics applicable to a variety of scientific areas within pure mathematics;
* useful techniques and extensive reference material;
* includes sharp results in the field of metrization.
Professional mathematicians with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. At the same time, the monograph is accessible and will be of use to advanced graduate students and to scientifically trained readers with an interest in the interplay among topology and metric properties and/or functional analysis and metric properties.
* useful techniques and extensive reference material;
* includes sharp results in the field of metrization.
Professional mathematicians with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. At the same time, the monograph is accessible and will be of use to advanced graduate students and to scientifically trained readers with an interest in the interplay among topology and metric properties and/or functional analysis and metric properties.
* includes sharp results in the field of metrization.
Professional mathematicians with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. At the same time, the monograph is accessible and will be of use to advanced graduate students and to scientifically trained readers with an interest in the interplay among topology and metric properties and/or functional analysis and metric properties.
Professional mathematicians with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. At the same time, the monograph is accessible and will be of use to advanced graduate students and to scientifically trained readers with an interest in the interplay among topology and metric properties and/or functional analysis and metric properties.
Unique features of Metrization Theory for Groupoids: With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis include:
* treatment of metrization from a wide, interdisciplinary perspective, with accompanying applications ranging across diverse fields;
* coverage of topics applicable to a variety of scientific areas within pure mathematics;
* useful techniques and extensive reference material;
* includes sharp results in the field of metrization.
Professional mathematicians with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. At the same time, the monograph is accessible and will be of use to advanced graduate students and to scientifically trained readers with an interest in the interplay among topology and metric properties and/or functional analysis and metric properties.
* coverage of topics applicable to a variety of scientific areas within pure mathematics;
* useful techniques and extensive reference material;
* includes sharp results in the field of metrization.
Professional mathematicians with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. At the same time, the monograph is accessible and will be of use to advanced graduate students and to scientifically trained readers with an interest in the interplay among topology and metric properties and/or functional analysis and metric properties.
* useful techniques and extensive reference material;
* includes sharp results in the field of metrization.
Professional mathematicians with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. At the same time, the monograph is accessible and will be of use to advanced graduate students and to scientifically trained readers with an interest in the interplay among topology and metric properties and/or functional analysis and metric properties.
* includes sharp results in the field of metrization.
Professional mathematicians with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. At the same time, the monograph is accessible and will be of use to advanced graduate students and to scientifically trained readers with an interest in the interplay among topology and metric properties and/or functional analysis and metric properties.
Professional mathematicians with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. At the same time, the monograph is accessible and will be of use to advanced graduate students and to scientifically trained readers with an interest in the interplay among topology and metric properties and/or functional analysis and metric properties.
Introduction.- Semigroupoids and Groupoids.- Quantitative Metrization Theory.- Applications to Analysis on Quasi-Metric Spaces.- Non-Locally Convex Functional Analysis.- Functional Analysis on Quasi-Pseudonormed Groups.- References.- Symbol Index.- Subject Index.- Author Index.
| Erscheint lt. Verlag | 14.12.2012 |
|---|---|
| Reihe/Serie | Applied and Numerical Harmonic Analysis |
| Zusatzinfo | 1 Illustrations, black and white; XII, 479 p. 1 illus. |
| Verlagsort | Secaucus |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre | |
| Schlagworte | Analysis • Hardy Spaces • Holder function • metrization theorem • quasi-metric spaces • Topological Groups • Topological Vector Spaces |
| ISBN-10 | 0-8176-8396-8 / 0817683968 |
| ISBN-13 | 978-0-8176-8396-2 / 9780817683962 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Buch | Softcover (2024)
De Gruyter Oldenbourg (Verlag)
CHF 83,90
