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

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. Front Matter....Pages i-xxiv M.G. Krein’s Contributions to Prediction Theory....Pages 1-15 M.G. Krein’s Contribution to the Moment Problem....Pages 17-32 Solution of the Truncated Matrix Hamburger Moment Problem According to M.G. Krein....Pages 33-51 Extreme Points of a Positive Operator Ball....Pages 53-66 M-Accretive Extensions of Sectorial Operators and Krein Spaces....Pages 67-82 A Proof of the Continuous Commutant Lifting Theorem....Pages 83-89 An Outer Derivation Construction on the Algebra of Singular Integral Operators with General Coefficients in Weighted Spaces and its Applications....Pages 91-103 Self-adjoint Operators with Inner Singularities and Pontryagin Spaces....Pages 105-175 On the Uniform Convergence Theorem of Semigroups....Pages 177-179 On Stochastic Integral, Wick Calculus and Generalized Stochastic Equations on Distribution Spaces of Non-Gaussian Infinite-dimensional Analysis....Pages 181-189 Bistrict Plus-operators in Krein Spaces and Dichotomous Behavior of Irreversible Dynamical Systems....Pages 191-203 Singular Operator as a Parameter of Self-adjoint Extensions....Pages 205-223 Few-body Krein’s Formula....Pages 225-254 Linearization and Compact Perturbation of Self-adjoint Analytic Operator Functions....Pages 255-285 Operator Interpretation of Resonances Generated by Some Operator Matrices....Pages 287-302 Generalized Resolvents of Isometric Linear Relations in Pontryagin Spaces, I: Foundations....Pages 303-319 A Termwise Differentiation in the Inductive Scales of the Locally Convex Spaces....Pages 321-333 Operator Relations, Dynamical Systems, and Representations of a Class of Wick Algebras....Pages 335-345 On Representations of F n -Algebras and Invertibility Symbols....Pages 347-357 Ergodic Theorems with Rates for r -times Integrated Solution Families....Pages 359-371 Stochastic Equations in the Space of Formal Series: Convergence of Solution Series....Pages 373-387 A Trigonometric Moment Problem for Z 2 *....Pages 389-404 Inner-outer Factorization of J-Contractive-Valued Functions....Pages 405-415 Back Matter....Pages 417-419 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 August 18-22, 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.