Advertisement

© 2010

Tauberian Operators

  • First unified exposition of the theory of tauberian operators

  • Describes a wide range of applications of the topic

  • Self-contained and accessible for both graduate students and researchers

Book

Part of the Operator Theory: Advances and Applications book series (OT, volume 194)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Manuel González, Antonio Martínez-Abejón
    Pages 1-7
  3. Manuel González, Antonio Martínez-Abejón
    Pages 9-33
  4. Manuel González, Antonio Martínez-Abejón
    Pages 35-71
  5. Manuel González, Antonio Martínez-Abejón
    Pages 73-91
  6. Manuel González, Antonio Martínez-Abejón
    Pages 93-120
  7. Manuel González, Antonio Martínez-Abejón
    Pages 121-190
  8. Back Matter
    Pages 191-245

About this book

Keywords

Banach space Tauberian operator algebra factorization functional analysis semigroup

Authors and affiliations

  1. 1.Departamento de Matemáticas, Estadística y ComputaciónUniversidad de CantabriaSantanderSpain
  2. 2.Departamento de MatemáticasUniversidad de OviedoOviedoSpain

Bibliographic information

  • Book Title Tauberian Operators
  • Authors Manuel González
    Antonio Martínez Abejón
  • Series Title Operator Theory: Advances and Applications
  • DOI https://doi.org/10.1007/978-3-7643-8998-7
  • Copyright Information Birkhäuser Basel 2010
  • Publisher Name Birkhäuser Basel
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-7643-8997-0
  • eBook ISBN 978-3-7643-8998-7
  • Edition Number 1
  • Number of Pages XII, 248
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Operator Theory
  • Buy this book on publisher's site

Reviews

From the reviews:

“Tauberian operators were introduced by Kalton and Wilanski in 1976 as an abstract counterpart of some operators associated to conservative summability matrices. … The book present in a clear and unified way the basic properties of tauberian operators and their applications in functional analysis scattered throughout the literature. … is addressed to graduate students and researchers in functional analysis and operator theory, but it can be used also as a basic text for advanced graduate courses.” (V. Anisiu, Studia Universitatis Babes-Bolyai, Mathematica, Vol. LV (4), December, 2010)

“The monograph under review contains the first comprehensive exposition of properties and applications of Tauberian and co-Tauberian operators, as well as of those of operators belonging to various related classes. … This monograph provides a careful unified account of ongoing research, and it is a welcome addition to the research literature on the qualitative theory of operators on Banach spaces. It is aimed at graduate students and researchers in operator theory and Banach spaces.” (Hans-Olav Tylli, Mathematical Reviews, Issue 2011 e)