Toeplitz Operators with \(\mathbb {T}_q^m\) -Invariant Symbols on Some Weakly Pseudoconvex Domains

In this paper, we study the Banach algebra \(\mathcal {T}(\mathbb {T}_m^q)\) which is generated by Toeplitz operators whose symbols are invariant under the action of the \(\mathbb {T}_m^q\) subgroup of the maximal torus \(\mathbb {T}^n\) , which are actin

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Wolfram Bauer Roland Duduchava Sergei Grudsky Marinus A. Kaashoek Editors

Operator Algebras, Toeplitz Operators and Related Topics

Operator Theory: Advances and Applications Volume 279 Founded in 1979 by Israel Gohberg

Editors: Joseph A. Ball (Blacksburg, VA, USA) Albrecht Böttcher (Chemnitz, Germany) Harry Dym (Rehovot, Israel) Heinz Langer (Wien, Austria) Christiane Tretter (Bern, Switzerland) Associate Editors: Vadim Adamyan (Odessa, Ukraine) Wolfgang Arendt (Ulm, Germany) B. Malcolm Brown (Cardiff, UK) Raul Curto (Iowa, IA, USA) Kenneth R. Davidson (Waterloo, ON, Canada) Fritz Gesztesy (Waco, TX, USA) Pavel Kurasov (Stockholm, Sweden) Vern Paulsen (Houston, TX, USA) Mihai Putinar (Santa Barbara, CA, USA) Ilya Spitkovsky (Abu Dhabi, UAE)

Honorary and Advisory Editorial Board: Lewis A. Coburn (Buffalo, NY, USA) Ciprian Foias (College Station, TX, USA) J.William Helton (San Diego, CA, USA) Marinus A. Kaashoek (Amsterdam, NL) Thomas Kailath (Stanford, CA, USA) Peter Lancaster (Calgary, Canada) Peter D. Lax (New York, NY, USA) Bernd Silbermann (Chemnitz, Germany) Harold Widom (Santa Cruz, CA, USA)

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Wolfram Bauer • Roland Duduchava • Sergei Grudsky • Marinus A. Kaashoek Editors

Operator Algebras, Toeplitz Operators and Related Topics

Editors Wolfram Bauer Institut f¨ur Analysis Leibniz Universit¨at Hannover Hannover, Germany Sergei Grudsky Departamento de Matematicas CINVESTAV del I.P.N. Mexico Distrito Federal, Mexico

Roland Duduchava A. Razmadze Mathematical Institute Tbilisi, Georgia

Marinus A. Kaashoek Department of Mathematics Vrije Universiteit Amsterdam, The Netherlands

ISSN 0255-0156 ISSN 2296-4878 (electronic) Operator Theory: Advances and Applications ISBN 978-3-030-44650-5 ISBN 978-3-030-44651-2 (eBook) https://doi.org/10.1007/978-3-030-44651-2 Mathematics Subject Classification: 47-06 © Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws