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Birkhäuser

Tauberian Operators

  • Book
  • © 2010

Overview

  • 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
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (6 chapters)

Keywords

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)

Authors and Affiliations

  • Departamento de Matemáticas, Estadística y Computación, Universidad de Cantabria, Santander, Spain

    Manuel González

  • Departamento de Matemáticas, Universidad de Oviedo, Oviedo, Spain

    Antonio Martínez-Abejón

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

  • Publisher: Birkhäuser Basel

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

  • Copyright Information: Birkhäuser Basel 2010

  • Hardcover ISBN: 978-3-7643-8997-0Published: 19 November 2009

  • eBook ISBN: 978-3-7643-8998-7Published: 09 January 2010

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: XII, 248

  • Topics: Operator Theory

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