Recent Advances in Operator Theory and Applications

ISBN-13: 9783764388928 / Angielski / Twarda / 2008 / 248 str.

Tsuyoshi Ando; Raal E. Curto; Il Bong Jung

Opis

This volume contains the proceedings of the International Workshop on Operator Theory and Applications (IWOTA 2006) held at Seoul National University, Seoul, Korea, from July 31 to August 3, 2006. The special interest areas of this workshop were Hilbert/Krein space operator theory, complex function theory related to Hilbert space operators, and systems theory related to Hilbert space operators. This volume contains sixteen research papers which reflect recent developments in operator theory and applications.

Spis treści

A Connection between Szegö and Nehari Sequences in the Matrix-valued Case.- Multivariable Generalizations of the Schur Class: Positive Kernel Characterization and Transfer Function Realization.- Some Problems Concerning the Test Functions in the Szegö and Avram-Parter Theorems.- On the Numerical Solution of a Hypersingular Integral Equation with Fixed Singularities.- Spectrum and Principal Function of Operators.- Spectral Consequences due to General Hölder’s Inequalities and Domination of Semigroups.- Quadratically Hyponormal Recursively Generated Weighted Shifts.- Relaxed Commutant Lifting: An Equivalent Version and a New Application.- Variants of Ando-Hiai Inequality.- On Local Spectral Theory.- The Finite Sections Approach to the Index Formula for Band-dominated Operators.- A New Proof that Rudin’s Module is not Finitely Generated.- Quasinilpotent Part of class A or (p, k)-quasihyponormal Operators.- A New Majorization Induced by Matrix Order.- H ? Functional Calculus and Characterization of Domains of Fractional Powers.- Operators on Locally Convex Spaces.