Positive Operators

C. D. Aliprantis, Owen Burkinshaw

376 pages, parution le 31/08/2006

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Résumé

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.

L'auteur - C. D. Aliprantis

C. D. Aliprantis, Purdue University, West Lafayette, IN

Sommaire

Foreword
Historical Foreword
Preface
Acknowledgements
List of Special Symbols
The Order Structure of Positive Operators
Components, Homomorphisms, and Orthomorphisms
Topological Considerations
Banach Lattices
Compactness Properties of Positive Operators
Bibliography
Monographs
Index

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	PAPIER
Éditeur(s)	Springer
Auteur(s)	C. D. Aliprantis, Owen Burkinshaw
Parution	31/08/2006
Nb. de pages	376
Format	16,5 x 24,5
Couverture	Relié
Poids	765g
Intérieur	Noir et Blanc
EAN13	9781402050077
ISBN13	978-1-4020-5007-7