Operator Theory in Inner Product Spaces
This volume contains contributions written by participants of the 4th Workshop on Operator Theory in Krein Spaces and Applications, which was held at the TU Berlin, Germany, December 17 to 19, 2004. The workshop covered topics from spectral, perturbation
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. T. Kuroda (Tokyo) P. Lancaster (Calgary) L. E. Lerer (Haifa) B. Mityagin (Columbus) V. Olshevsky (Storrs) M. Putinar (Santa Barbara) L. Rodman (Williamsburg) J. Rovnyak (Charlottesville) D. E. Sarason (Berkeley) I. M. Spitkovsky (Williamsburg) S. Treil (Providence) H. Upmeier (Marburg) S. M. Verduyn Lunel (Leiden) D. Voiculescu (Berkeley) D. Xia (Nashville) D. Yafaev (Rennes) Honorary and Advisory Editorial Board: C. Foias (Bloomington) P. R. Halmos (Santa Clara) T. Kailath (Stanford) H. Langer (Vienna) P. D. Lax (New York) M. S. Livsic (Beer Sheva) H. Widom (Santa Cruz) Michael Demuth Technische Universität Clausthal Germany Jerome A. Goldstein The University of Memphis, TN USA Nobuyuki Tose Keio University, Yokohama Japan
Operator Theory in Inner Product Spaces
Karl-Heinz Förster Peter Jonas Heinz Langer Carsten Trunk Editors Advances in Partial Differential Equations
Birkhäuser Basel . Boston . Berlin
Editors: Karl-Heinz Förster Peter Jonas Carsten Trunk Institut für Mathematik, MA 6-4 Technische Universität Berlin Straße des 17. Juni 136 D-10623 Berlin
Heinz Langer Mathematik Technische Universität Wien Wiedner Hauptstrasse 8–10/1411 A-1040 Wien e-mail: [email protected]
e-mail: [email protected] [email protected] [email protected]
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Bibliographic information published by Die Deutsche Bibliothek 'LH'HXWVFKH%LEOLRWKHNOLVWVWKLVSXEOLFDWLRQLQWKH'HXWVFKH1DWLRQDOELEOLRJUD¿H GHWDLOHG bibliographic data is available in the Internet at . ISBN 3978-3-7643-8268elston – Birkhäuser Berlin ISBN 978-3-7643-8269-8 Verlag, Basel – Boston – Berlin This work is subject to copyright. All rights are reserved, whether the whole or part of the PDWHULDOLVFRQFHUQHGVSHFL¿FDOO\WKHULJKWVRIWUDQVODWLRQUHSULQWLQJUHXVHRI LOOXVWUDWLRQVUHFLWDWLRQEURDGFDVWLQJUHSURGXFWLRQRQPLFUR¿OPVRULQRWKHUZD\VDQG storage in data banks. For any kind of use permission of the copyright owner must be obtained. © 2007 Birkhäuser Verlag AG, P.O. Box 133, CH-4010 Basel, Switzerland Part of Springer Science+Business Media Printed on acid-free paper produced from chlorine-free pulp. TCF f Cover design: Heinz Hiltbrunner, Basel Printed in Germany ISBN-10: 3-7643-8269-3 ISBN-13: 978-3-7643-8269-8
e-ISBN-10: 3-7643-8270-8 e-ISBN-13: 978-3-7643-8270-4
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Contents Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
vii
T.Ya. Azizov and L.I. Soukhotcheva Linear Operators in Almost Krein Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1
J. Behrndt, A. Luger and C. Trunk Generalized Resolvents of a Class of Symmetric Operators in Krein Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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