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Operator algebras, Toeplitz operators and related topics. Selected papers based on the presentations at the international workshop, Boca del Rio, Veracruz, Mexico, November 13–19, 2018. In honor of Nikolai Vasilevskin on the occasion of his 70th birthday. (English) Zbl 1446.00025

Operator Theory: Advances and Applications 279. Cham: Birkhäuser (ISBN 978-3-030-44650-5/hbk; 978-3-030-44653-6/pbk; 978-3-030-44651-2/ebook). xi, 467 p. (2020).

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Publisher’s description: 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.
The articles of this volume will be reviewed individually.
Indexed articles:
Grudsky, Sergei; Latushkin, Yuri; Shapiro, Michael, The life and work of Nikolai Vasilevski, 3-8 [Zbl 07244846]
Grudsky, Sergei; Latushkin, Yuri; Shapiro, Michael, Principal publications of Nikolai Vasilevski, 9-16 [Zbl 07244847]
Grudsky, Sergei; Latushkin, Yuri; Shapiro, Michael, Ph. D. Dissertations directed by Nikolai Vasilevski, 17 [Zbl 07244848]
Bauer, Wolfram, The Mathematician Nikolai Vasilevski, 19-20 [Zbl 07244849]
Quiroga-Barranco, Raúl, The mathematics of Nikolai Vasilevski, 21-23 [Zbl 07244850]
Rozenblum, Grigori, Nikolai’s spaces, 25-26 [Zbl 07244851]
Agranovsky, M.; Rubin, Boris, Non-geodesic spherical funk transforms with one and two centers, 29-52 [Zbl 07244852]
Bauer, Wolfram; Fulsche, Robert, Berger-Coburn theorem, localized operators, and the Toeplitz algebra, 53-77 [Zbl 07244853]
Dawson, Matthew; Ólafsson, Gestur; Quiroga-Barranco, Raul, Toeplitz operators on the domain \(\{Z\in M_{2\times 2}(\mathbb{C})\mid ZZ^*<I\}\) with \(\text{U}(2)\times\mathbb{T}^2\)-invariant symbols, 79-101 [Zbl 07244854]
Esmeral, Kevin, Separately radial Fock-Carleson type measures for derivatives of order \(k\), 103-126 [Zbl 07244855]
Mauricio, Hernández-Marroquín; Luisalfredo, Dupont-García; Armando, Sánchez-Nungaray, Toeplitz operators with \(\mathbb{T}_q^m\)-invariant symbols on some weakly pseudoconvex domains, 127-143 [Zbl 07244856]
ter Horst, Sanne; Kaashoek, M. A.; van Schagen, F., The twofold Ellis-Gohberg inverse problem for rational matrix functions on the real line, 145-173 [Zbl 07244857]
Karapetyants, Alexey; Louhichi, Issam, Fractional integrodifferentiation and Toeplitz operators with vertical symbols, 175-187 [Zbl 07244858]
Karapetyants, Alexey; Taskinen, Jari, Toeplitz operators with radial symbols on weighted holomorphic Orlicz space, 189-204 [Zbl 07244859]
Karlovich, Yu. I., Algebras of singular integral operators with PQC coefficients on weighted Lebesgue spaces, 205-231 [Zbl 07244860]
Krähmer, Ulrich; Wagner, Elmar, Twisted Dirac operator on quantum SU(2) in disc coordinates, 233-253 [Zbl 07244861]
Loaiza, Maribel; Lozano, Carmen; Macías-Durán, Jesús, Toeplitz algebras on the harmonic Fock space, 255-276 [Zbl 07244862]
Maximenko, Egor A.; Tellería-Romero, Ana María, Radial operators on polyanalytic Bargmann-Segal-Fock spaces, 277-305 [Zbl 07244863]
Misra, Gadadhar; Upmeier, Harald, Toeplitz \(C^\ast\)-algebras on boundary orbits of symmetric domains, 307-341 [Zbl 07244864]
Pacheco, Carlos G., A Gaussian analytic function, 343-349 [Zbl 07244865]
Rabinovich, Vladimir, Dirac operators on \(\mathbb{R}\) with general point interactions, 351-381 [Zbl 07244866]
del Rosario Ramírez-Mora, María; Ramírez-Ortega, Josué; Morales-Ramos, Miguel Antonio, Algebra generated by a finite number of Toeplitz operators with homogeneous symbols acting on the poly-Bergman spaces, 383-402 [Zbl 07244867]
Rozenblum, Grigori; Vasilevski, Nikolai, Toeplitz operators with singular symbols in polyanalytic Bergman spaces on the half-plane, 403-421 [Zbl 07244868]
Sergeev, Armen, Quantum differentials and function spaces, 423-437 [Zbl 07244869]
Sontz, Stephen Bruce, Toeplitz quantization of a free \(\ast\)-algebra, 439-449 [Zbl 07244870]
Unterberger, André, Making the case for pseudodifferential arithmetic, 451-467 [Zbl 07244871]

MSC:

00B25 Proceedings of conferences of miscellaneous specific interest
47-06 Proceedings, conferences, collections, etc. pertaining to operator theory
46Lxx Selfadjoint operator algebras (\(C^*\)-algebras, von Neumann (\(W^*\)-) algebras, etc.)

Biographic References:

Vasilevski, Nikolai
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