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Positive Operators and Semigroups on Banach Lattices

Proceedings of a Caribbean Mathematics Foundation Conference 1990

Specificaties
Paperback, 152 blz. | Engels
Springer Netherlands | 0e druk, 2010
ISBN13: 9789048142057
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Springer Netherlands 0e druk, 2010 9789048142057
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Samenvatting

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.

Specificaties

ISBN13:9789048142057
Taal:Engels
Bindwijze:paperback
Aantal pagina's:152
Uitgever:Springer Netherlands
Druk:0

Inhoudsopgave

Positive Operators on Krein Spaces.- A Remark on the Representation of Vector Lattices as Spaces of Continuous Real-Valued Functions.- Domination of Uniformly Continuous Semigroups.- Sums and Extensions of Vector Lattice Homomorphisms.- Baillon’s Theorem on Maximal Regularity.- Fraction-Dense Algebras and Spaces.- An Alternative Proof of a Radon—Nikodym Theorem for Lattice Homomorphisms.- Some Remarks on Disjointness Preserving Operators.- Weakly Compact Operators and Interpolation.- Aspects of Local Spectral Theory for Positive Operators.- A Wiener—Young Type Theorem for Dual Semigroups.- Krivine’s Theorem and Indices of a Banach Lattice.- Representations of Archimedean Riesz Spaces by Continuous Functions.- Some Aspects of the Spectral Theory of Positive Operators.- Problem Section.

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        Positive Operators and Semigroups on Banach Lattices