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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.
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Previews available in: English
Edition | Availability |
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1
Positive Operators
Nov 19, 2010, Springer, Aliprantis Charalambos D Burkinshaw Owen
paperback
9048172535 9789048172535
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2
Positive Operators
October 5, 2006, Springer
Hardcover
in English
- 1st ed. 1985. Corr. 2nd printing edition
1402050070 9781402050077
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- Created April 29, 2008
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August 12, 2024 | Edited by MARC Bot | import existing book |
December 19, 2020 | Edited by MARC Bot | import existing book |
October 8, 2020 | Edited by ImportBot | import existing book |
August 1, 2020 | Edited by ImportBot | import existing book |
April 29, 2008 | Created by an anonymous user | Imported from amazon.com record |