Quantitative Metrization Theory
This chapter contains our most general abstract results pertaining to the metrization of semigroupoids and groupoids equipped with quasisubadditive functions. Moreover, several metrization results in this setting with additional constraints are establishe
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Editorial Advisory Board Akram Aldroubi Vanderbilt University Nashville, TN, USA
Jelena Kovaˇcevi´c Carnegie Mellon University Pittsburgh, PA, USA
Andrea Bertozzi University of California Los Angeles, CA, USA
Gitta Kutyniok Technische Universit¨at Berlin Berlin, Germany
Douglas Cochran Arizona State University Phoenix, AZ, USA
Mauro Maggioni Duke University Durham, NC, USA
Hans G. Feichtinger University of Vienna Vienna, Austria
Zuowei Shen National University of Singapore Singapore, Singapore
Christopher Heil Georgia Institute of Technology Atlanta, GA, USA
Thomas Strohmer University of California Davis, CA, USA
St´ephane Jaffard University of Paris XII Paris, France
Yang Wang Michigan State University East Lansing, MI, USA
For further volumes: http://www.springer.com/series/4968
Dorina Mitrea • Irina Mitrea • Marius Mitrea Sylvie Monniaux
Groupoid Metrization Theory With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis
Dorina Mitrea Department of Mathematics University of Missouri Columbia, MO, USA
Irina Mitrea Department of Mathematics Temple University Philadelphia, PA, USA
Marius Mitrea Department of Mathematics University of Missouri Columbia, MO, USA
Sylvie Monniaux UFR Sciences Universit´e Aix-Marseille III Marseille, France
ISBN 978-0-8176-8396-2 ISBN 978-0-8176-8397-9 (eBook) DOI 10.1007/978-0-8176-8397-9 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2012952027 Mathematics Subject Classification (2010): 20N02, 22A22, 42B35, 46A16, 46A30, 46A40, 46B42, 54E35, 54E50, 54E52 © Springer Science+Business Media New York 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are
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