Positive Operators

  • Charalambos D. Aliprantis
  • Owen Burkinshaw

Table of contents

  1. Front Matter
    Pages I-XIX
  2. Charalambos D. Aliprantis, Owen Burkinshaw
    Pages 1-77
  3. Charalambos D. Aliprantis, Owen Burkinshaw
    Pages 79-132
  4. Charalambos D. Aliprantis, Owen Burkinshaw
    Pages 133-180
  5. Charalambos D. Aliprantis, Owen Burkinshaw
    Pages 181-272
  6. Charalambos D. Aliprantis, Owen Burkinshaw
    Pages 273-357
  7. Back Matter
    Pages 359-376

About this book

Introduction

Reprinted by popular demand, this monograph presents a comprehensive study of positive operators between Riesz spaces and Banach lattices. Since the first publication of this book, (Academic Press, 1985), the subject of positive operators and Riesz spaces has found many applications in several disciplines, including social sciences and engineering. It is well known that many linear operators between Banach spaces arising in classical analysis are in fact positive operators. Therefore we study here positive operators in the setting of Riesz spaces and Banach lattices and from both the algebraic and topological points of view. Special emphasis is given to the compactness properties of positive operators and their relations to the order structures of the spaces the operators are acting upon. In order to make the book as self-sufficient as possible, some basic results from the theory of Riesz spaces and Banach lattices are included with proofs where necessary. However, familiarity with the elementary concepts of real analysis and functional analysis is assumed. The book is divided into five chapters, each consisting of nineteen sections all ending with exercises designed to supplement and illustrate the material.

Keywords

Algebra Brandonwiskunde Morphism Simulation calculus function proof real analysis

Authors and affiliations

  • Charalambos D. Aliprantis
    • 1
  • Owen Burkinshaw
    • 2
  1. 1.Purdue UniversityWest LafayetteU.S.A.
  2. 2.IUPUIIndianapolisU.S.A.

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4020-5008-4
  • Copyright Information Springer Science+Business Media B.V. 2006
  • Publisher Name Springer, Dordrecht
  • eBook Packages Computer Science
  • Print ISBN 978-1-4020-5007-7
  • Online ISBN 978-1-4020-5008-4
  • About this book