Multilinear Operator Integrals Theory and Applications
This book provides a comprehensive treatment of multilinear operator integral techniques. The exposition is structured to be suitable for a course on methods and applications of multilinear operator integrals and also as a research aid. The ideas and cont
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Anna Skripka Anna Tomskova
Multilinear Operator Integrals Theory and Applications
Lecture Notes in Mathematics Editors-in-Chief: Jean-Michel Morel, Cachan Bernard Teissier, Paris Advisory Editors: Karin Baur, Leeds Michel Brion, Grenoble Camillo De Lellis, Princeton Alessio Figalli, Zurich Annette Huber, Freiburg Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Cambridge Angela Kunoth, Cologne Ariane Mézard, Paris Mark Podolskij, Aarhus Sylvia Serfaty, New York Gabriele Vezzosi, Florence Anna Wienhard, Heidelberg
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More information about this series at http://www.springer.com/series/304
Anna Skripka • Anna Tomskova
Multilinear Operator Integrals Theory and Applications
123
Anna Skripka Department of Mathematics and Statistics University of New Mexico Albuquerque, NM, USA
Anna Tomskova School of Computer Science and Engineering Inha University in Tashkent Tashkent, Uzbekistan
ISSN 0075-8434 ISSN 1617-9692 (electronic) Lecture Notes in Mathematics ISBN 978-3-030-32405-6 ISBN 978-3-030-32406-3 (eBook) https://doi.org/10.1007/978-3-030-32406-3 Mathematics Subject Classification (2010): Primary: 46L51, 47B49, 47A60, 47A63, 47B10, 47C15, 47A55, 15A60; Secondary: 46N50, 58J30, 46L87, 46G12, 46H10, 47L25, 26A16 © Springer Nature Switzerland AG 2019 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, expressed 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 maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
A multilinear operator integral is a powerful tool in noncommutative analysis and its applications. Theory underlying multilinear operator integration has been developing since the 1950s, with a number of amazing advancements made in recent years. The field has accumulated many deep theoretical results and important applications, but no book on this beautiful and important
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