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Table of contents

  1. Phillip A. Regalia
  2. Łukasz Kosiński, Włodzimierz Zwonek
  3. C. Ambrozie, Vladimir Muller
  4. Joseph A. Ball, Vladimir Bolotnikov
  5. Uwe Kaehler, Frank Sommen
  6. Daniel Beltita, José E. Galé
  7. Irene M. Sabadini, Frank Sommen
  8. Michael Kaltenbäck
  9. Frank Sommen, Hennie De Schepper
  10. P. Cerejeiras, U. Kähler
  11. Ricardo Abreu-Blaya, Juan Bory-Reyes
  12. Yury Arlinskiĭ, Sergey Belyi, Eduard Tsekanovskiĭ
  13. P. Dewilde, A.-J van der Veen
  14. Fabrizio Colombo, Irene M. Sabadini
  15. M. E. Luna-Elizarrarás, M. Shapiro

About this book

Introduction

A one-sentence definition of operator theory could be: The study of (linear) continuous operations between topological vector spaces, these being in general (but not exclusively) Fréchet, Banach, or Hilbert spaces (or their duals). Operator theory is thus a very wide field, with numerous facets, both applied and theoretical. There are deep connections with complex analysis, functional analysis, mathematical physics, and electrical engineering, to name a few. Fascinating new applications and directions regularly appear, such as operator spaces, free probability, and applications to Clifford analysis. In our choice of the sections, we tried to reflect this diversity. This is a dynamic ongoing project, and more sections are planned, to complete the picture. We hope you enjoy the reading, and profit from this endeavor.

Editors and affiliations

  • Daniel Alpay
    • 1
  1. 1.Ben-Gurion University of the Negev, Department of MathematicsBeer-ShevaIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-0692-3
  • Copyright Information Springer Basel 2014
  • Publisher Name Springer, Basel
  • eBook Packages Mathematics and Statistics
  • Online ISBN 978-3-0348-0692-3