Skip to main content
SpringerLink
Log in
Birkhäuser

Optimal Domain and Integral Extension of Operators

Acting in Function Spaces

  • Book
  • © 2008

Overview

Authors:
  1. Susumu Okada

    1. Centre for Mathematics and its Applications, Australian National University, Australia

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Werner J. Ricker

    1. Mathematisch-Geographische Fakultät, Katholische Universität Eichstätt-Ingolstadt, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

  3. Enrique A. Sánchez Pérez

    1. Instituto de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, Spain

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Many and varied examples to supplement the theory
  • Interdisciplinary character
  • Most material appears in print for the first time
  • Extensive bibliography
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 180)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (7 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Introduction

    Pages 1-16

  3. Quasi-Banach Function Spaces

    Pages 17-101

  4. Vector Measures and Integration Operators

    Pages 103-179

  5. Optimal Domains and Integral Extensions

    Pages 181-207

  6. p-th Power Factorable Operators

    Pages 209-235

  7. Factorization of p-th Power Factorable Operators through Lq-spaces

    Pages 237-293

  8. Operators from Classical Harmonic Analysis

    Pages 295-378

  9. Back Matter

    Pages 379-400
    Download chapter PDF
Back to top

Keywords

About this book

Operator theory and functional analysis have a long tradition, initially being guided by problems from mathematical physics and applied mathematics. Much of the work in Banach spaces from the 1930s onwards resulted from investigating how much real (and complex) variable function theory might be extended to fu- tions taking values in (function) spaces or operators acting in them. Many of the ?rst ideas in geometry, basis theory and the isomorphic theory of Banach spaces have vector measure-theoretic origins and can be credited (amongst others) to N. Dunford, I.M. Gelfand, B.J. Pettis and R.S. Phillips. Somewhat later came the penetratingcontributionsofA.Grothendieck,whichhavepervadedandin?uenced theshapeoffunctionalanalysisandthetheoryofvectormeasures/integrationever since. Today, each of the areas of functional analysis/operator theory, Banach spaces, and vector measures/integration is a strong discipline in its own right. However, it is not always made clear that these areas grew up together as cousins and that they had, and still have, enormous in?uences on one another. One of the aims of this monograph is to reinforce and make transparent precisely this important point.

Authors and Affiliations

  • Centre for Mathematics and its Applications, Australian National University, Australia

    Susumu Okada

  • Mathematisch-Geographische Fakultät, Katholische Universität Eichstätt-Ingolstadt, Germany

    Werner J. Ricker

  • Instituto de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, Spain

    Enrique A. Sánchez Pérez

Bibliographic Information

  • Book Title: Optimal Domain and Integral Extension of Operators

  • Book Subtitle: Acting in Function Spaces

  • Authors: Susumu Okada, Werner J. Ricker, Enrique A. Sánchez Pérez

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-7643-8648-1

  • Publisher: Birkhäuser Basel

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

  • Copyright Information: Birkhäuser Basel 2008

  • Hardcover ISBN: 978-3-7643-8647-4Published: 16 May 2008

  • eBook ISBN: 978-3-7643-8648-1Published: 09 September 2008

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: XII, 400

  • Topics: Analysis, Operator Theory

Publish with us

Policies and ethics

Back to top

Search

Navigation