Ebook: Recent Advances in Operator Theory and Applications

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.

---

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.

Content:
Front Matter....Pages i-viii
A Connection between Szeg? and Nehari Sequences in the Matrix-valued Case....Pages 1-16
Multivariable Generalizations of the Schur Class: Positive Kernel Characterization and Transfer Function Realization....Pages 17-79
Some Problems Concerning the Test Functions in the Szeg? and Avram-Parter Theorems....Pages 81-93
On the Numerical Solution of a Hypersingular Integral Equation with Fixed Singularities....Pages 95-116
Spectrum and Principal Function of Operators....Pages 117-123
Spectral Consequences due to General H?lder’s Inequalities and Domination of Semigroups....Pages 125-140
Quadratically Hyponormal Recursively Generated Weighted Shifts....Pages 141-155
Relaxed Commutant Lifting: An Equivalent Version and a New Application....Pages 157-168
Variants of Ando-Hiai Inequality....Pages 169-174
On Local Spectral Theory....Pages 175-183
The Finite Sections Approach to the Index Formula for Band-dominated Operators....Pages 185-193
A New Proof that Rudin’s Module is not Finitely Generated....Pages 195-197
Quasinilpotent Part of class A or (p, k)-quasihyponormal Operators....Pages 199-210
A New Majorization Induced by Matrix Order....Pages 211-216
H ? Functional Calculus and Characterization of Domains of Fractional Powers....Pages 217-235
Operators on Locally Convex Spaces....Pages 237-247

---

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.

Content:
Front Matter....Pages i-viii
A Connection between Szeg? and Nehari Sequences in the Matrix-valued Case....Pages 1-16
Multivariable Generalizations of the Schur Class: Positive Kernel Characterization and Transfer Function Realization....Pages 17-79
Some Problems Concerning the Test Functions in the Szeg? and Avram-Parter Theorems....Pages 81-93
On the Numerical Solution of a Hypersingular Integral Equation with Fixed Singularities....Pages 95-116
Spectrum and Principal Function of Operators....Pages 117-123
Spectral Consequences due to General H?lder’s Inequalities and Domination of Semigroups....Pages 125-140
Quadratically Hyponormal Recursively Generated Weighted Shifts....Pages 141-155
Relaxed Commutant Lifting: An Equivalent Version and a New Application....Pages 157-168
Variants of Ando-Hiai Inequality....Pages 169-174
On Local Spectral Theory....Pages 175-183
The Finite Sections Approach to the Index Formula for Band-dominated Operators....Pages 185-193
A New Proof that Rudin’s Module is not Finitely Generated....Pages 195-197
Quasinilpotent Part of class A or (p, k)-quasihyponormal Operators....Pages 199-210
A New Majorization Induced by Matrix Order....Pages 211-216
H ? Functional Calculus and Characterization of Domains of Fractional Powers....Pages 217-235
Operators on Locally Convex Spaces....Pages 237-247
....