A Survey on the Arveson-Douglas Conjecture
The Arveson-Douglas Conjecture is a conjecture about essential normality of submodules, and quotient modules of some analytic Hilbert modules on polynomial rings. It originated from multi-variable operator theory but turns out to have various connections
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Raul E. Curto, William Helton, Huaxin Lin, Xiang Tang, Rongwei Yang, Guoliang Yu, Editors
Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology Ronald G. Douglas Memorial Volume
Operator Theory: Advances and Applications Volume 278 Founded in 1979 by Israel Gohberg
Series 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 E. 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)
Subseries Linear Operators and Linear Systems Subseries editors: Daniel Alpay (Orange, CA, USA) Birgit Jacob (Wuppertal, Germany) André C.M. Ran (Amsterdam, The Netherlands)
Subseries Advances in Partial Differential Equations Subseries editors: Bert-Wolfgang Schulze (Potsdam, Germany) Michael Demuth (Clausthal, Germany) Jerome A. Goldstein (Memphis, TN, USA) Nobuyuki Tose (Yokohama, Japan) Ingo Witt (Göttingen, Germany)
More information about this series at http://www.springer.com/series/4850
Raul E. Curto • William Helton • Huaxin Lin • Xiang Tang • Rongwei Yang • Guoliang Yu Editors
Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology Ronald G. Douglas Memorial Volume
Editors Raul E. Curto Mathematics University of Iowa Iowa City, IA, USA
William Helton Department of Mathematics University of California San Diego La Jolla, CA, USA
Huaxin Lin Department of Mathematics University of Oregon Eugene, OR, USA
Xiang Tang Department of Mathematics Washington University in St. Louis St. Louis, MO, USA
Rongwei Yang Mathematics Department University of Albany Albany, NY, USA
Guoliang Yu Department of Mathematics Texas A&M University College Station, TX, USA
ISSN 0255-0156 ISSN 2296-4878 (electronic) Operator Theory: Advances and Applications ISBN 978-3-030-43379-6 ISBN 978-3-030-43380-2 (eBook) https://doi.org/10.1007/978-3-030-43380-2 Mathematics Subject Classification: 47-XX © 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
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