New Results in Operator Theory and Its Applications

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.