New Results in Operator Theory and Its Applications: The Israel M. Glazman Memorial Volume

ISBN-13: 9783764357757 / Angielski / Twarda / 1997 / 261 str.

Israel Gohberg; Israel Gohberg; Yuri I. Lyubich

Opis

This text is dedicated to the memory of Israel Glazman, who was the author of many papers and books on operator theory and its applications. The book opens with an essay on Glazman's life and scientific achievements, and it then focuses on the areas of his unusually wide interests,

Spis treści

Israel Glazman, Mathematician and Personality.- Principle of Weakly Contractive Maps in Hilbert Spaces.- Potentials Associated to Rational Weights.- Multidimensional Functional Equations Generated by Affine Transformations.- Realization Theorems for Operator-Valued R-Functions.- Timan’s Type Result on Approximation by Algebraic Polynomials.- Asymptotic Formulas for Spectral and Weyl Functions of Sturm-Liouville Operators with Smooth Coefficients.- The Glazman-Krein-Naimark Theorem for Ordinary Differential Operators.- Metric Critical Point Theory 2. Deformation Techniques.- Ergodic Methods for the Construction of Holomorphic Retractions.- New Proof of Trace Formulas in Case of Classical Sturm-Liouville Problem.- Commuting Nonselfadjoint Operators and a Unified Theory of Waves and Corpuscles.- On Stability of Non-Negative Invariant Subspaces.- The Duality of Spectral Manifolds and Local Spectral Theory.- Degenerated Elliptic Boundary Value Problems for Weak Coupled Systems. Solvability and Maximum Principle.- Characterization of the Periodic and Anti-Periodic Spectra of Nonselfadjoint Hill’s Operators.- A Lower Confidence Limit for the Multiple Correlation Coefficient.- Analysis in Classes of Discontinuous Functions and Partial Differential Equations.- The Behaviour of Solutions of Ordinary Differential Equations in Infinite Domains.