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

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

The Israel M. Glazman Memorial Volume

By: Prof. Israel Gohberg (Editor), Yurii I. Lyubich (Editor)

Hardcover Published: 1997
ISBN: 9783764357757
Number Of Pages: 261

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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. It opens with an essay on Glazman's life and scientific achievements, and the book then focuses on the areas of his unusually wide interests, and consists of 18 mathematical papers in spectral theory of differential operators, and linear operators in Hilbert and Banach spaces, analytic operator functions, ordinary and partial differential equations, functional equations, mathematical physics, nonlinear functional analysis, approximation theory and optimization, and mathematical statistics. This volume should be relevent to researchers working in pure and applied mathematics.

Israel Glazman, Mathematician and Personalityp. 1
Principle of Weakly Contractive Maps in Hilbert Spacesp. 7
Potentials Associated to Rational Weightsp. 23
Multidimensional Functional Equations Generated by Affine Transformationsp. 41
Realization Theorems for Operator-Valued R-Functionsp. 55
Timan's Type Result on Approximation by Algebraic Polynomialsp. 92
Asymptotic Formulas for Spectral and Weyl Functions of Sturm-Liouville Operators with Smooth Coefficientsp. 102
The Glazman-Krein-Naimark Theorem for Ordinary Differential Operatorsp. 118
Metric Critical Point Theory 2. Deformation Techniquesp. 131
Ergodic Methods for the Construction of Holomorphic Retractionsp. 145
New Proof of Trace Formulas in Case of Classical Sturm-Liouville Problemp. 153
Commuting Nonselfadjoint Operators and a Unified Theory of Waves and Corpusclesp. 163
On Stability of Non-Negative Invariant Subspacesp. 186
The Duality of Spectral Manifolds and Local Spectral Theoryp. 190
Degenerated Elliptic Boundary Value Problems for Weak Coupled Systems. Solvability and Maximum Principlep. 208
Characterization of the Periodic and Anti-Periodic Spectra of Nonselfadjoint Hill's Operatorsp. 216
A Lower Confidence Limit for the Multiple Correlation Coefficientp. 225
Analysis in Classes of Discontinuous Functions and Partial Differential Equationsp. 230
The Behaviour of Solutions of Ordinary Differential Equations in Infinite Domainsp. 249
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783764357757
ISBN-10: 3764357754
Series: Molecular and Cell Biology Updates
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 261
Published: 1997
Country of Publication: CH
Dimensions (cm): 25.4 x 17.78  x 1.45
Weight (kg): 0.48