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Groupoid Metrization Theory: With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis

Groupoid Metrization Theory: With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis
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Field name Details
Dewey Class 515.785
Title Groupoid Metrization Theory ([Ebook]) : With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis / by Dorina Mitrea, Irina Mitrea, Marius Mitrea, Sylvie Monniaux.
Author Mitrea, Dorina
Added Personal Name Mitrea, Irina
Mitrea, Marius
Monniaux, Sylvie
Other name(s) SpringerLink (Online service)
Publication Boston : Birkhäuser
, 2013.
Physical Details XII, 479 p. 1 illus. : online resource.
Series Applied and numerical harmonic analysis
ISBN 9780817683979
Summary Note 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.:
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-0-8176-8397-9
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