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Birkhäuser

Algebraic Methods in Operator Theory

  • Conference proceedings
  • © 1994

Overview

Editors:
  1. Raúl E. Curto

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

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  2. Palle E. T. Jørgensen

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

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Table of contents (33 papers)

  1. Front Matter

    Pages i-viii
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  2. Single Operators and Applications

    1. Front Matter

      Pages 1-1
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    2. On the Commutant Lifting Theorem and Hankel Operators

      • Radu Gadidov
      Pages 3-9

    3. Operator Semigroups, Invariant Sets and Invariant Subspaces

      • John Froelich, Michael Marsalli
      Pages 10-14

    4. The Local de Branges-Rovnyak Construction and Complete Nevanlinna-Pick Kernels

      • Scott McCullough
      Pages 15-24

    5. Local Spectral Theory for Multipliers and Convolution Operators

      • Vivien G. Miller, Michael M. Neumann
      Pages 25-36

    6. Operator-Valued Poisson Kernels and Standard Models in Several Variables

      • F.-H. Vasilescu
      Pages 37-46

  3. Nonselfadjoint Algebras

    1. Front Matter

      Pages 47-47
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    2. Elementary operators and subalgebras

      • Keith J. Coates
      Pages 49-51

    3. Questions on Bimodules of Nest Algebras

      • Xingde Dai
      Pages 52-58

    4. The Universal Factorization Property for Commutative Subspace Lattices

      • John Daughtry
      Pages 59-65

    5. Compression Limit Algebras

      • Alan Hopenwasser, Cecelia Laurie
      Pages 66-78

    6. Inverse Semigroups, Groupoids and A Problem of J. Renault

      • Alan L. T. Paterson
      Pages 79-89

    7. On Banach Algebras Generated by Two Idempotents

      • Ysette Weiss
      Pages 90-97

  4. C* Algebras

    1. Front Matter

      Pages 99-99
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    2. Berezin-Toeplitz Quantization

      • L. A. Coburn
      Pages 101-108

    3. Normal Elements of a Simple C*-Algebra

      • George A. Elliott
      Pages 109-123

    4. A Gelfand-Naimark Theorem for C*-Algebras

      • Ichiro Fujimoto
      Pages 124-133

    5. The Generalized Weyl-von Neumann Theorem and C*-algebra Extensions

      • Huaxin Lin
      Pages 134-143

    6. The cb-norm of a derivation

      • Martin Mathieu
      Pages 144-152
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Keywords

About this book

The theory of operators stands at the intersection of the frontiers of modern analysis and its classical counterparts; of algebra and quantum mechanics; of spectral theory and partial differential equations; of the modern global approach to topology and geometry; of representation theory and harmonic analysis; and of dynamical systems and mathematical physics. The present collection of papers represents contributions to a conference, and they have been carefully selected with a view to bridging different but related areas of mathematics which have only recently displayed an unexpected network of interconnections, as well as new and exciting cross-fertilizations. Our unify­ ing theme is the algebraic view and approach to the study of operators and their applications. The complementarity between the diversity of topics on the one hand and the unity of ideas on the other has been stressed. Some of the longer contributions represent material from lectures (in expanded form and with proofs for the most part). However, the shorter papers, as well as the longer ones, are an integral part of the picture; they have all been carefully refereed and revised with a view to a unity of purpose, timeliness, readability, and broad appeal. Raul Curto and Paile E. T.

Editors and Affiliations

  • Department of Mathematics MLH, University of Iowa, Iowa City, USA

    Raúl E. Curto, Palle E. T. Jørgensen

Bibliographic Information

  • Book Title: Algebraic Methods in Operator Theory

  • Editors: Raúl E. Curto, Palle E. T. Jørgensen

  • DOI: https://doi.org/10.1007/978-1-4612-0255-4

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1994

  • Hardcover ISBN: 978-0-8176-3745-3Published: 01 April 1995

  • Softcover ISBN: 978-1-4612-6683-9Published: 13 October 2012

  • eBook ISBN: 978-1-4612-0255-4Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: VIII, 360

  • Topics: Operator Theory, Algebra

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