Spectral Mapping Theorems A Bluffer's Guide

Written by an author who was at the forefront of developments in multi-variable spectral theory during the seventies and the eighties, this guide sets out to describe in detail the spectral mapping theorem in one, several and many variables. The basic alg

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Robin Harte

Spectral Mapping Theorems A Bluffer‘s Guide

123

SpringerBriefs in Mathematics

Series editors Krishnaswami Alladi, Gainesville, USA Nicola Bellomo, Torino, Italy Michele Benzi, Atlanta, USA Tatsien Li, Shanghai, China Matthias Neufang, Ottawa, Canada Otmar Scherzer, Vienna, Austria Dierk Schleicher, Bremen, Germany Vladas Sidoravicius, Rio de Janeiro, Brazil Benjamin Steinberg, New York, USA Yuri Tschinkel, New York, USA Loring W. Tu, Medford, USA G. George Yin, Detroit, USA Ping Zhang, Kalamazoo, USA

SpringerBriefs in Mathematics showcases expositions in all areas of mathematics and applied mathematics. Manuscripts presenting new results or a single new result in a classical field, new field, or an emerging topic, applications, or bridges between new results and already published works, are encouraged. The series is intended for mathematicians and applied mathematicians. For further volumes: http://www.springer.com/series/10030

Robin Harte

Spectral Mapping Theorems A Bluffer’s Guide

123

Robin Harte School of Mathematics Trinity College Dublin Ireland

Additional material to this book can be downloaded from http://extras.springer.com/

ISSN 2191-8198 ISSN 2191-8201 (electronic) ISBN 978-3-319-05647-0 ISBN 978-3-319-05648-7 (eBook) DOI 10.1007/978-3-319-05648-7 Springer Cham Heidelberg New York Dordrecht London Library of Congress Control Number: 2014935229 Mathematics Subject Classification: 47A13  Robin Harte 2014 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 believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or o