Positive Operators

Name: Positive Operators
Availability: OutOfStock
ISBN: 9781402050077

ISBN-10: 1402050070

ISBN-13: 9781402050077

Edition: 2006

Authors: Charalambos D. Aliprantis, Owen Burkinshaw

List price: $179.99

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Description:

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…

Book details

List price: $179.99
Copyright year: 2006
Publisher: Springer Netherlands
Publication date: 7/24/2006
Binding: Hardcover
Pages: 376
Size: 8.27" wide x 11.69" long x 0.75" tall
Weight: 2.860
Language: English



Foreword


Historical Foreword


Preface


Acknowledgments


List of Special Symbols



The Order Structure of Positive Operators



Basic Properties of Positive Operators



Extensions of Positive Operators



Order Projections



Order Continuous Operators



Positive Linear Functionals



Components, Homomorphisms, and Orthomorphisms



The Components of a Positive Operator



Lattice Homomorphisms



Orthomorphisms



Topological Considerations



Topological Vector Spaces



Weak Topologies on Banach Spaces



Locally Convex-Solid Riesz Spaces



Banach Lattices



Banach Lattices with Order Continuous Norms



Weak Compactness in Banach Lattices



Embedding Banach Spaces



Banach Lattices of Operators



Compactness Properties of Positive Operators



Compact Operators



Weakly Compact Operators



L- and M-weakly Compact Operators



Dunford-Pettis Operators


Bibliography


Monographs


Index