: Ilya M. Spitkovsky, Leiba Rodman, J. William Helton, Vladimir Bolotnikov, Joseph A. Ball
: Joseph A. Ball, Vladimir Bolotnikov, J. William Helton, Leiba Rodman
: Topics in Operator Theory Volume 1: Operators, Matrices and Analytic functions
: Birkhäuser Basel
: 9783034601580
: 1
: CHF 133.00
:
: Analysis
: English
: 600
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF
This is the first volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications.
Title Page3
Copyright Page4
Table of Contents5
The XIXth International Workshop on Operator Theory and its Applications. I8
Speeches and Reminiscences11
1. Presentation of book11
2. Gohberg’s colleagues14
3. Gohberg’s family23
3.1. The young years of Israel Gohberg23
3.2. My father I.C. Gohberg26
3.3. Dad’s 80th birthday28
3.4. Family reminiscences29
3.5. Congratulations Izinka31
3.6. My grandfather32
4. To Izia Gohberg on his 80th birthday33
5. Reminiscences of meetings with Israel Cudicovic Gohberg34
A Quantitative Estimate for Bounded Point Evaluations in Pt(µ)-spaces37
1. Introduction37
2. Thomson’s theorem38
3. Some auxiliary lemmas40
4. The proof of Theorem 1.142
5. Analytic bounded point evaluations44
References45
Weighted Composition Operators on the Bloch Space of a Bounded Homogeneous Domain47
1. Introduction47
1.1. Purpose of the paper48
1.2. Organization of the paper48
2. The Bloch space49
3. Weighted composition operators on the Bloch space of D51
4. Weighted composition operators on the Bloch space of a bounded homogeneous domain53
5. Special case: The unit ball58
6. Special case: The unit polydisk63
7. Weighted composition operators from the Bloch spaces into H866
8. Further developments70
8.1. Isometries70
8.2. Spectrum71
8.3. Essential norm71
References72
Images of Minimal-vector Sequences Under Weighted Composition Operators on L2(D)74
1. Introduction and background74
2. Koenigs and Valiron functions78
3. Regularity properties of a80
4. Main results83
References85
On Extensions of Indefinite Toeplitz-Kre n-Cotlar Triplets87
1. Introduction87
2. Preliminaries88
3. Toeplitz-Kre n-Cotlar triplets90
4. Extension result92
5. Generalized Toeplitz kernels with real parameter93
References94
Multivariable Weighted Composition Operators: Lack of Point Spectrum, and Cyclic Vectors96
1. Introduction96
2. The single-variable case98
3. The multivariable case100
4. Cyclic vectors for Ta, a . Qd107
4.1. The case a . Q2108
4.1.1. The case q1 = q2.108
4.1.2. The case q1 = q2.116