E-Book Overview
The present book is the second of the two volume Proceedings of the Mark Krein International Conference on Operator Theory and Applications. This conference, which was dedicated to the 90th Anniversary of the prominent mathematician Mark Krein, was held in Odessa, Ukraine from 18-22 August, 1997. The conference focused on the main ideas, methods, results, and achievements of M. G. Krein. This second volume is devoted to operator theory and related topics. It opens with the bibliography of M. G. Krein and a number of survey papers about his work. The main part of the book consists of original research papers presenting the state of the art in operator theory and its applications. The first volume of these proceedings, entitled Differential Operators and related Topics, concerns the other aspects of the conference. The two volumes will be of interest to a wide-range of readership in pure and applied mathematics, physics and engineering sciences. Table of Contents Preface. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v Table of Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vii Bibliography of Mark Grigorevich Krein . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix Review papers: M. G. Krein's Contributions to Prediction Theory H. Dym M. G. Krein's Contribution to the Moment. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 AA Nudelman Research Papers: Solution of the Truncated Matrix Hamburger Moment Problem according to M. G. Krein . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 Y. M. Adamyan and I. M. Tkachenko Extreme Points of a Positive Operator Ball . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 T. Ando M-accretive Extensions of Sectorial Operators and Krein Spaces . . . . . . . . . 67 Y. M. Arlinskii A Simple Proof of the Continuous Commutant Lifting Theorem . . . . . . . . . . 83 R. Bruzual and M.
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Operator Theory: Advances and Applications Vol. 118 Editor: I. Gohberg
Editorial Office: School of Mathematical Sciences Tel Aviv University Ramat Aviv, Israel Editorial Board: J . Arazy (Haifa) A. Atzmon (Tel Aviv) J . A. Ball (Blacksburg) A. Ben-Artzi (Tel Aviv) H. Bercovici (Bloomington) A. Böttcher (Chemnitz) L. de Branges (West Lafayette) K. Clancey (Athens, USA) L A. Coburn (Buffalo) K. R. Davidson (Waterloo, Ontario) R. G. Douglas (Stony Brook) H. Dym (Rehovot) A. Dynin (Columbus) P. A. Fillmore (Halifax) C. Foias (Bloomington) P. A. Fuhrmann (Beer Sheva) S. Goldberg (College Park) B. Gramsch (Mainz) G. Heinig (Chemnitz) J . A. Helton (La Jolla)
M A Kaashoek (Amsterdam) T. Kailath (Stanford) H.G. Kaper (Argonne) S T . Kuroda (Tokyo) P. Lancaster (Calgary) L E . Lerer (Haifa) E. Meister (Darmstadt) B. Mityagin (Columbus) V. V. Peller (Manhattan, Kansas) J. D. Pincus (Stony Brook) M. Rosenblum (Charlottesville) J . Rovnyak (Charlottesville) D. E. Sarason (Berkeley) H. Upmeier (Marburg) S. M. Verduyn-Lunel (Amsterdam) D. Voiculescu (Berkeley) H. Widom (Santa Cruz) D. Xia (Nashville) D. Yafaev (Rennes) Honorary and Advisory Editorial Board: P. R. Haimos (Santa Clara) P. D. Lax (New York) M. S. Livsic (Beer Sheva)
Operator Theory and Related Topics Proceedings of the Mark Krein International Conference on Operator Theory and Applications, Odessa, Ukraine, August 18-22,1997 Volume II
V. M. Adamyan I. Gohberg M. Gorbachuk V. Gorbachuk M. A. Kaashoek H. Langer G. Popov Editors
Springer Basel AG
Editors: V . M . Adamyan Department of Theoretical Physics University of Odessa 270026 Odessa Ukraine
I. Gohberg Department of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences Tel Aviv University 69978 Ramat Aviv Israel
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