A Course in Functional Analysis and Measure Theory
Written by an expert on the topic and experienced lecturer, this textbook provides an elegant, self-contained introduction to functional analysis, including several advanced topics and applications to harmonic analysis. Starting from basic topics before p
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Vladimir Kadets
A Course in Functional Analysis and Measure Theory
Universitext
Universitext Series editors Sheldon Axler San Francisco State University Carles Casacuberta Universitat de Barcelona Angus MacIntyre Queen Mary University of London Kenneth Ribet University of California, Berkeley Claude Sabbah École polytechnique, CNRS, Université Paris-Saclay, Palaiseau Endre Süli University of Oxford Wojbor A. Woyczyński Case Western Reserve University
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Vladimir Kadets
A Course in Functional Analysis and Measure Theory Translated from the Russian by Andrei Iacob
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Vladimir Kadets School of Mathematics and Computer Science V. N. Karazin Kharkiv National University Kharkiv Ukraine
ISSN 0172-5939 ISSN 2191-6675 (electronic) Universitext ISBN 978-3-319-92003-0 ISBN 978-3-319-92004-7 (eBook) https://doi.org/10.1007/978-3-319-92004-7 Library of Congress Control Number: 2018943248 Mathematics Subject Classification (2010): 46-01, 47-01, 28-01 Translation from the Russian language edition: КУРС ФУНКЦИОНАЛЬНОГО АНАЛИЗА by Vladimir Kadets, © V.N. Karazin Kharkiv National University 2006. All Rights Reserved. © Springer International Publishing AG, part of Springer Nature 2018 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. 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published
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