Recent Advances in Operator Theory and Applications

by Ando, Tsuyoshi; Curto, Raul E.; Jung, Il Bong; Lee, Woo Young

• ISBN13: 9783764388928
• ISBN10: 3764388927
• Format: Hardcover
• Copyright: 2008-11-01
• Publisher: Birkhauser

Summary

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.

Table of Contents

Editorial Introduction	p. vii
A Connection between Szego and Nehari Sequences in the Matrix-valued Case	p. 1
Multivariable Generalizations of the Schur Class: Positive Kernel Characterization and Transfer Function Realization	p. 17
Some Problems Concerning the Test Functions in the Szego and Avram-Parter Theorems	p. 81
On the Numerical Solution of a Hypersingular Integral Equation with Fixed Singularities	p. 95
Spectrum and Principal Function of Operators	p. 117
Spectral Consequences due to General Holder's Inequalities and Domination of Semigroups	p. 125
Quadratically Hyponormal Recursively Generated Weighted Shifts	p. 141
Relaxed Commutant Lifting: An Equivalent Version and a New Application	p. 157
Variants of Ando-Hiai Inequality	p. 169
On Local Spectral Theory	p. 175
The Finite Sections Approach to the Index Formula for Band-dominated Operators	p. 185
A New Proof that Rudin's Module is not Finitely Generated	p. 195
Quasinilpotent Part of class A or (p,k)-quasihyponormal Operators	p. 199
A New Majorization Induced by Matrix Order	p. 211
H[subscript infinity] Functional Calculus and Characterization of Domains of Fractional Powers	p. 217
Operators on Locally Convex Spaces	p. 237
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