New Results in Operator Theory and Its Applications

The Israel M. Glazman Memorial Volume

Inbunden, Engelska, 1997

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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.

Produktinformation

Utgivningsdatum1997-08-19
Mått183 x 260 x 20 mm
Vikt714 g
FormatInbunden
SpråkEngelska
SerieOperator Theory: Advances and Applications
Antal sidor261
Upplaga1997
FörlagBirkhauser Verlag AG
ISBN9783764357757

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Beräkning och matematisk analys inom Naturvetenskap och teknik

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.