Groupoid Metrization Theory
With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis
Dorina Mitrea author Irina Mitrea author Marius Mitrea author Sylvie Monniaux author
Format:Hardback
Publisher:Birkhauser Boston Inc
Published:14th Dec '12
Currently unavailable, and unfortunately no date known when it will be back
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...
From the reviews:
“The monograph is part of the Applied and Numerical Harmonic Analysis (ANHA) book series which caters to the applied science and engineering communities with emphasis on harmonic analysis. The book mainly deals with issues in analysis that permit construction of a metric which is compatible––quantitatively, topologically or algebraically––with a given setting.” (Ryo Ohashi, Mathematical Reviews, July, 2013)
“This research monograph, based mainly on the original contributions of the authors, proposes a very general approach to some results in topology, harmonic analysis and functional analysis, all revolving around the idea of metrizability. It will be of interest to researchers in these areas, as well as to those interested in the abstract approach proposed by the authors.” (Stefan Cobzaş, zbMATH, Vol. 1269, 2013)
ISBN: 9780817683962
Dimensions: unknown
Weight: 898g
479 pages
2013 ed.