Overview
- The only book that includes, besides the general theory of positive operators, a comprehensive study of the various compactness properties of positive operators
- The material is presented in an easy reader-friendly manner
- Most of the material does not exist in the textbook literature
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Table of contents (5 chapters)
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Positive Operators
Authors: Charalambos D. Aliprantis, Owen Burkinshaw
DOI: https://doi.org/10.1007/978-1-4020-5008-4
Publisher: Springer Dordrecht
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Springer Science+Business Media B.V. 2006
Hardcover ISBN: 978-1-4020-5007-7Published: 24 July 2006
Softcover ISBN: 978-90-481-7253-5Published: 10 November 2010
eBook ISBN: 978-1-4020-5008-4Published: 21 October 2006
Edition Number: 1
Number of Pages: XX, 376
Additional Information: Originally published by Academic Press, 1985
Topics: Mathematics of Computing, Analysis, Applications of Mathematics, Game Theory, Economics, Social and Behav. Sciences