Positive Operator Semigroups From Finite to Infinite Dimensions
This book gives a gentle but up-to-date introduction into the theory of operator semigroups (or linear dynamical systems), which can be used with great success to describe the dynamics of complicated phenomena arising in many applications. Positivity
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Positive Operator Semigroups )URP)LQLWHWR,Q½QLWH'LPHQVLRQV
Operator Theory: Advances and Applications Volume 257 Founded in 1979 by Israel Gohberg
Editors: Joseph A. Ball (Blacksburg, VA, USA) Harry Dym (Rehovot, Israel) Marinus A. Kaashoek (Amsterdam, The Netherlands) Heinz Langer (Wien, Austria) Christiane Tretter (Bern, Switzerland) Associate Editors: Vadim Adamyan (Odessa, Ukraine) Wolfgang Arendt (Ulm, Germany) Albrecht Böttcher (Chemnitz, Germany) B. Malcolm Brown (Cardiff, UK) Raul Curto (Iowa, IA, USA) Fritz Gesztesy (Columbia, MO, USA) Pavel Kurasov (Stockholm, Sweden) Vern Paulsen (Houston, TX, USA) Mihai Putinar (Santa Barbara, CA, USA) Ilya M. Spitkovsky (Williamsburg, VA, USA)
Honorary and Advisory Editorial Board: Lewis A. Coburn (Buffalo, NY, USA) Ciprian Foias (College Station, TX, USA) J.William Helton (San Diego, CA, USA) Thomas Kailath (Stanford, CA, USA) Peter Lancaster (Calgary, Canada) Peter D. Lax (New York, NY, USA) Donald Sarason (Berkeley, CA, USA) Bernd Silbermann (Chemnitz, Germany) Harold Widom (Santa Cruz, CA, USA)
Subseries Linear Operators and Linear Systems Subseries editors: Daniel Alpay (Orange, CA, USA) Birgit Jacob (Wuppertal, Germany) André C.M. Ran (Amsterdam, The Netherlands) Subseries Advances in Partial Differential Equations Subseries editors: Bert-Wolfgang Schulze (Potsdam, Germany) Michael Demuth (Clausthal, Germany) Jerome A. Goldstein (Memphis, TN, USA) Nobuyuki Tose (Yokohama, Japan) Ingo Witt (Göttingen, Germany)
More information about this series at http://www.springer.com/series/4850
András Bátkai • Marjeta Kramar Fijavž Abdelaziz Rhandi
Positive Operator Semigroups From Finite to Infinite Dimensions
András Bátkai Pädagogische Hochschule Vorarlberg Feldkirch, Austria Abdelaziz Rhandi Università di Salerno Fisciano, Salerno, Italy
Marjeta Kramar Fijavž Faculty of Civil and Geodetic Engineering University of Ljubljana Ljubljana, Slovenia
and Institute for Mathematics, Physics and Mechanics Ljubljana, Slovenia
ISSN 0255-0156 ISSN 2296-4878 (electronic) Operator Theory: Advances and Applications ISBN 978-3-319-42811-6 ISBN 978-3-319-42813-0 (eBook) DOI 10.1007/978-3-319-42813-0 Library of Congress Control Number: 2016963804 Mathematics Subject Classification (2010): 47D06, 47B65, 15B48 © Springer International Publishing AG 2017 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 prote
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