Title | New Results in Operator Theory and Its Applications [electronic resource] : The Israel M. Glazman Memorial Volume / edited by I. Gohberg, Yu. Lyubich |
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Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 1997 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-8910-0 |
Descript | VII, 261 p. 2 illus. online resource |
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 -- Timanโs 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 Hillโs 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