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Positive Operators and Semigroups on Banach Lattices : Proceedings of a Caribbean Mathematics Foundation Conference 1990 - C. B. Huijsmans

Positive Operators and Semigroups on Banach Lattices

Proceedings of a Caribbean Mathematics Foundation Conference 1990

Hardcover Published: 30th September 1992
ISBN: 9780792319641
Number Of Pages: 152

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During the last twenty-five years, the development of the theory of Banach lattices has stimulated new directions of research in the theory of positive operators and the theory of semigroups of positive operators. In particular, the recent investigations in the structure of the lattice ordered (Banach) algebra of the order bounded operators of a Banach lattice have led to many important results in the spectral theory of positive operators. The contributions contained in this volume were presented as lectures at a conference organized by the Caribbean Mathematics Foundation, and provide an overview of the present state of development of various areas of the theory of positive operators and their spectral properties.
This book will be of interest to analysts whose work involves positive matrices and positive operators.

Preface
List of Participants
Positive Operators on Krein Spacesp. 1
A Remark on the Representation of Vector Lattices as Spaces of Continuous Real-Valued Functionsp. 23
Domination of Uniformly Continuous Semigroupsp. 27
Sums and Extensions of Vector Lattice Homomorphismsp. 33
Baillon's Theorem on Maximal Regularityp. 47
Fraction-Dense Algebras and Spacesp. 55
An Alternative Proof of a Radon-Nikodym Theorem for Lattice Homomorphismsp. 67
Some Remarks on Disjointness Preserving Operatorsp. 73
Weakly Compact Operators and Interpolationp. 79
Aspects of Local Spectral Theory for Positive Operatorsp. 91
A Wiener-Young Type Theorem for Dual Semigroupsp. 101
Krivine's Theorem and Indices of a Banach Latticep. 111
Representations of Archimedean Riesz Spaces by Continuous Functionsp. 123
Some Aspects of the Spectral Theory of Positive Operatorsp. 135
Problem Sectionp. 143
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792319641
ISBN-10: 0792319648
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 152
Published: 30th September 1992
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 24.79 x 16.1  x 1.47
Weight (kg): 0.43
Edition Number: 27

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