Operator Algebras, Toeplitz Operators and Related Topics

✍ Scribed by Wolfram Bauer, Roland Duduchava, Sergei Grudsky, Marinus A. Kaashoek

• Publisher: Springer International Publishing;Birkhäuser
• Year: 2020
• Tongue: English
• Leaves: 459
• Series: Operator Theory: Advances and Applications 279
• Edition: 1st ed.
• Category: Library

✦ Synopsis

This book features a collection of up-to-date research papers that study various aspects of general operator algebra theory and concrete classes of operators, including a range of applications.

Most of the papers included were presented at the International Workshop on Operator Algebras, Toeplitz Operators, and Related Topics, in Boca del Rio, Veracruz, Mexico, in November 2018. The conference, which was attended by more than 30 leading experts in the field, was held in celebration of Nikolai Vasilevski’s 70th birthday, and the contributions are dedicated to him.

✦ Table of Contents

Front Matter ....Pages i-xi
Front Matter ....Pages 1-1
The Life and Work of Nikolai Vasilevski (Sergei Grudsky, Yuri Latushkin, Michael Shapiro)....Pages 3-8
Principal Publications of Nikolai Vasilevski (Sergei Grudsky, Yuri Latushkin, Michael Shapiro)....Pages 9-16
Ph. D. Dissertations Directed by Nikolai Vasilevski (Sergei Grudsky, Yuri Latushkin, Michael Shapiro)....Pages 17-17
The Mathematician Nikolai Vasilevski (Wolfram Bauer)....Pages 19-20
The Mathematics of Nikolai Vasilevski (Raúl Quiroga-Barranco)....Pages 21-23
Nikolai’s Spaces (Grigori Rozenblum)....Pages 25-26
Front Matter ....Pages 27-27
Non-geodesic Spherical Funk Transforms with One and Two Centers (M. Agranovsky, B. Rubin)....Pages 29-52
Berger-Coburn Theorem, Localized Operators, and the Toeplitz Algebra (Wolfram Bauer, Robert Fulsche)....Pages 53-77
Toeplitz Operators on the Domain ({Z\in M_{2\times 2}(\mathbb {C}) \mid Z Z^* < I}) with (\mathrm {U}(2)\times \mathbb {T}^2)-Invariant Symbols (Matthew Dawson, Gestur Ólafsson, Raul Quiroga-Barranco)....Pages 79-101
Separately Radial Fock-Carleson Type Measures for Derivatives of Order k (Kevin Esmeral)....Pages 103-126
Toeplitz Operators with (\mathbb {T}_q^m)-Invariant Symbols on Some Weakly Pseudoconvex Domains (Hernández-Marroquín Mauricio, Dupont-García LuisAlfredo, Sánchez-Nungaray Armando)....Pages 127-143
The Twofold Ellis-Gohberg Inverse Problem for Rational Matrix Functions on the Real Line (S. ter Horst, M. A. Kaashoek, F. van Schagen)....Pages 145-173
Fractional Integrodifferentiation and Toeplitz Operators with Vertical Symbols (Alexey Karapetyants, Issam Louhichi)....Pages 175-187
Toeplitz Operators with Radial Symbols on Weighted Holomorphic Orlicz Space (Alexey Karapetyants, Jari Taskinen)....Pages 189-204
Algebras of Singular Integral Operators with PQC Coefficients on Weighted Lebesgue Spaces (Yu. I. Karlovich)....Pages 205-231
Twisted Dirac Operator on Quantum SU(2) in Disc Coordinates (Ulrich Krähmer, Elmar Wagner)....Pages 233-253
Toeplitz Algebras on the Harmonic Fock Space (Maribel Loaiza, Carmen Lozano, Jesús Macías-Durán)....Pages 255-276
Radial Operators on Polyanalytic Bargmann–Segal–Fock Spaces (Egor A. Maximenko, Ana María Tellería-Romero)....Pages 277-305
Toeplitz C∗-Algebras on Boundary Orbits of Symmetric Domains (Gadadhar Misra, Harald Upmeier)....Pages 307-341
A Gaussian Analytic Function (Carlos G. Pacheco)....Pages 343-349
Dirac Operators on ( \mathbb {R}) with General Point Interactions (Vladimir Rabinovich)....Pages 351-381
Algebra Generated by a Finite Number of Toeplitz Operators with Homogeneous Symbols Acting on the Poly-Bergman Spaces (María del Rosario Ramírez-Mora, Josué Ramírez-Ortega, Miguel Antonio Morales-Ramos)....Pages 383-402
Toeplitz Operators with Singular Symbols in Polyanalytic Bergman Spaces on the Half-Plane (Grigori Rozenblum, Nikolai Vasilevski)....Pages 403-421
Quantum Differentials and Function Spaces (Armen Sergeev)....Pages 423-437
Toeplitz Quantization of a Free ∗-Algebra (Stephen Bruce Sontz)....Pages 439-449
Making the Case for Pseudodifferential Arithmetic (André Unterberger)....Pages 451-467

✦ Subjects

Mathematics; Operator Theory