Recent Advances in Operator Theory and Applications

✍ Scribed by Tsuyoshi Ando, Il Bong Jung, Woo Young Lee

• Publisher: Birkhäuser Basel
• Year: 2008
• Tongue: English
• Leaves: 248
• Series: Operator Theory: Advances and Applications
• Edition: 1
• Category: Library

✦ Synopsis

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

Cover......Page 1
Operator Theory: Advances and Applications
Vol. 187......Page 3
Recent Advances
in Operator Theory
and Applications......Page 4
ISBN 3764388927......Page 5
Contents......Page 6
Editorial Introduction......Page 8
A Connection between Szegö and Nehari Sequences in the Matrix-valued Case......Page 10
Multivariable Generalizations of the
Schur Class: Positive Kernel Characterization
and Transfer Function Realization......Page 26
Some Problems Concerning the Test Functions
in the Szegö and Avram-Parter Theorems......Page 89
On the Numerical Solution of a
Hypersingular Integral Equation
with Fixed Singularities......Page 102
Spectrum and Principal Function of Operators......Page 124
Spectral Consequences due to
General Hölder’s Inequalities and
Domination of Semigroups......Page 131
Quadratically Hyponormal Recursively
Generated Weighted Shifts......Page 147
Relaxed Commutant Lifting: An Equivalent
Version and a New Application......Page 162
Variants of Ando-Hiai Inequality......Page 174
On Local Spectral Theory......Page 180
The Finite Sections Approach to the Index
Formula for Band-dominated Operators......Page 189
A New Proof that Rudin’s Module
is not Finitely Generated......Page 198
Quasinilpotent Part of class A or
(p, k)-quasihyponormal Operators......Page 201
A New Majorization Induced by Matrix Order......Page 213
H∞ Functional Calculus and Characterization
of Domains of Fractional Powers......Page 219
Operators on Locally Convex Spaces......Page 238