Recent Advances in Matrix and Operator Theory
This book expands the lectures given at IWOTA’05 (International Workshop on Operator Theory and Applications) which was held at the University of Connecticut, Storrs, USA, July 24–27, 2005. Many developments on the cutting edge of research in operator the
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Subseries: Advances in Partial Differential Equations Subseries editors: Bert-Wolfgang Schulze Universität Potsdam Germany Sergio Albeverio Universität Bonn Germany
H. G. Kaper (Argonne) S. 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) T. Kailath (Stanford) H. Langer (Vienna) P. D. Lax (New York) H. Widom (Santa Cruz)
Recent Advances in Matrix and Operator Theory Joseph A. Ball Yuli Eidelman J. William Helton Vadim Olshevsky James Rovnyak Editors
Birkhäuser Basel . Boston . Berlin
Editors: Joseph A. Ball Department of Mathematics Virginia Tech Blacksburg, VA 24061, USA e-mail: [email protected] Yuli Eidelman School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences Tel Aviv University Ramat Aviv 69978, Israel e-mail: [email protected]
Vadim Olshevsky Department of Mathematics University of Connecticut 196 Auditorium Road, U-9 Storrs, CT 06269, USA e-mail: [email protected] James Rovnyak Department of Mathematics University of Virginia P. O. Box 400137 Charlottesville, VA 22904-4137, USA e-mail: [email protected]
J. William Helton Department of Mathematics University of California San Diego 9500 Gilman Drive La Jolla, California 92093-0112, USA e-mail: [email protected]
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Library of Congress Control Number: 2007937322
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ISBN 978-3-7643-8538-5 Birkhäuser Verlag AG, 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. © 2008 Birkhäuser Verlag AG, P.O. Box 133, CH-4010 Basel, Switzerland Part of Springer Science+Business Media 3ULQWHGRQDFLGIUHHSDSHUSURGXFHGIURPFKORULQHIUHHSXOS7&) Cover design: Heinz Hiltbrunner, Basel Printed in Germany ISBN 978-3-7643-8538-5
e-ISBN 978-3-7643-8539-2
987654321
www.birkhauser.ch
Contents Editorial Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vii Daniel Alpay and Israel Gohberg Inverse Problems for First-Order Discrete Systems .
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