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Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology

Ronald G. Douglas Memorial Volume

  • Conference proceedings
  • © 2020

Overview

Editors:
  1. Raul E Curto

    1. Mathematics, University of Iowa, Iowa City, USA

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  2. William Helton

    1. Department of Mathematics, University of California San Diego, La Jolla, USA

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  3. Huaxin Lin

    1. Department of Mathematics, University of Oregon, Eugene, USA

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  4. Xiang Tang

    1. Department of Mathematics, Washington University in St. Louis, St. Louis, USA

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  5. Rongwei Yang

    1. Mathematics Department, University of Albany, Albany, USA

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  6. Guoliang Yu

    1. Department of Mathematics, Texas A&M University, College Station, USA

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Part of the book series: Operator Theory: Advances and Applications (OT, volume 278)

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Table of contents (26 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Following in the Footsteps of Ronald G. Douglas

    • Michael R. Douglas
    Pages 1-9

  3. Functional Models for Commuting Hilbert-Space Contractions

    • Joseph A. Ball, Haripada Sau
    Pages 11-54

  4. The Extended Aluthge Transform

    • Chafiq Benhida, Raul E. Curto
    Pages 55-76

  5. Open Problems in Wavelet Theory

    • Marcin Bownik, Ziemowit Rzeszotnik
    Pages 77-100

  6. When Is Every Quasi-Multiplier a Multiplier?

    • Lawrence G. Brown
    Pages 101-110

  7. Isomorphism in Wavelets II

    • Xingde Dai, Wei Huang, Zhongyan Li
    Pages 111-127

  8. Nevanlinna-Pick Families and Singular Rational Varieties

    • Kenneth R. Davidson, Eli Shamovich
    Pages 129-145

  9. On Certain Commuting Isometries, Joint Invariant Subspaces and C ∗-Algebras

    • B. Krishna Das, Ramlal Debnath, Jaydeb Sarkar
    Pages 147-170

  10. Spectral Analysis, Model Theory and Applications of Finite-Rank Perturbations

    • Dale Frymark, Constanze Liaw
    Pages 171-202

  11. Invariance of the Essential Spectra of Operator Pencils

    • H. Gernandt, N. Moalla, F. Philipp, W. Selmi, C. Trunk
    Pages 203-219

  12. Decomposition of the Tensor Product of Two Hilbert Modules

    • Soumitra Ghara, Gadadhar Misra
    Pages 221-265

  13. A Survey on Classification of C∗-Algebras with the Ideal Property

    • Guihua Gong, Chunlan Jiang, Kun Wang
    Pages 267-287

  14. A Survey on the Arveson-Douglas Conjecture

    • Kunyu Guo, Yi Wang
    Pages 289-311

  15. The Pieri Rule for GL n Over Finite Fields

    • Shamgar Gurevich, Roger Howe
    Pages 313-332

  16. Cauchy-Riemann Equations for Free Noncommutative Functions

    • S. ter Horst, E. M. Klem
    Pages 333-357

  17. Uniform Roe Algebras and Geometric RD Property

    • Ronghui Ji, Guoliang Yu
    Pages 359-371

  18. Integral Curvature and Similarity of Cowen-Douglas Operators

    • Chunlan Jiang, Kui Ji
    Pages 373-390

  19. Singular Subgroups in \( \widetilde {A}_2\)-Groups and Their von Neumann Algebras

    • Yongle Jiang, Piotr W. Nowak
    Pages 391-402

  20. A K-Theoretic Selberg Trace Formula

    • Bram Mesland, Mehmet Haluk Şengün, Hang Wang
    Pages 403-424
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Keywords

About this book

This book is the proceeding of the International Workshop on Operator Theory and Applications (IWOTA) held in July 2018 in Shanghai, China. It consists of original papers, surveys and expository articles in the broad areas of operator theory, operator algebras and noncommutative topology. Its goal is to give graduate students and researchers a relatively comprehensive overview of the current status of research in the relevant fields. The book is also a special volume dedicated to the memory of Ronald G. Douglas who passed away on February 27, 2018 at the age of 79. Many of the contributors are Douglas’ students and past collaborators. Their articles attest and commemorate his life-long contribution and influence to these fields.

Editors and Affiliations

  • Mathematics, University of Iowa, Iowa City, USA

    Raul E Curto

  • Department of Mathematics, University of California San Diego, La Jolla, USA

    William Helton

  • Department of Mathematics, University of Oregon, Eugene, USA

    Huaxin Lin

  • Department of Mathematics, Washington University in St. Louis, St. Louis, USA

    Xiang Tang

  • Mathematics Department, University of Albany, Albany, USA

    Rongwei Yang

  • Department of Mathematics, Texas A&M University, College Station, USA

    Guoliang Yu

Bibliographic Information

  • Book Title: Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology

  • Book Subtitle: Ronald G. Douglas Memorial Volume

  • Editors: Raul E Curto, William Helton, Huaxin Lin, Xiang Tang, Rongwei Yang, Guoliang Yu

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-030-43380-2

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-43379-6Published: 12 December 2020

  • Softcover ISBN: 978-3-030-43382-6Published: 13 December 2021

  • eBook ISBN: 978-3-030-43380-2Published: 12 December 2020

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: X, 534

  • Number of Illustrations: 33 b/w illustrations, 3 illustrations in colour

  • Topics: Operator Theory, Functional Analysis

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