Ebook: Positive Operators and Semigroups on Banach Lattices: Proceedings of a Caribbean Mathematics Foundation Conference 1990

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.

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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.

---

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.

Content:
Front Matter....Pages i-vii
Positive Operators on Krein Spaces....Pages 1-22
A Remark on the Representation of Vector Lattices as Spaces of Continuous Real-Valued Functions....Pages 23-26
Domination of Uniformly Continuous Semigroups....Pages 27-31
Sums and Extensions of Vector Lattice Homomorphisms....Pages 33-45
Baillon’s Theorem on Maximal Regularity....Pages 47-54
Fraction-Dense Algebras and Spaces....Pages 55-65
An Alternative Proof of a Radon-Nikodym Theorem for Lattice Homomorphisms....Pages 67-71
Some Remarks on Disjointness Preserving Operators....Pages 73-78
Weakly Compact Operators and Interpolation....Pages 79-89
Aspects of Local Spectral Theory for Positive Operators....Pages 91-100
A Wiener-Young Type Theorem for Dual Semigroups....Pages 101-109
Krivine’s Theorem and the Indices of a Banach Lattice....Pages 111-121
Representations of Archimedean Riesz Spaces by Continuous Functions....Pages 123-133
Some Aspects of the Spectral Theory of Positive Operators....Pages 135-142
Back Matter....Pages 143-152

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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.

Content:
Front Matter....Pages i-vii
Positive Operators on Krein Spaces....Pages 1-22
A Remark on the Representation of Vector Lattices as Spaces of Continuous Real-Valued Functions....Pages 23-26
Domination of Uniformly Continuous Semigroups....Pages 27-31
Sums and Extensions of Vector Lattice Homomorphisms....Pages 33-45
Baillon’s Theorem on Maximal Regularity....Pages 47-54
Fraction-Dense Algebras and Spaces....Pages 55-65
An Alternative Proof of a Radon-Nikodym Theorem for Lattice Homomorphisms....Pages 67-71
Some Remarks on Disjointness Preserving Operators....Pages 73-78
Weakly Compact Operators and Interpolation....Pages 79-89
Aspects of Local Spectral Theory for Positive Operators....Pages 91-100
A Wiener-Young Type Theorem for Dual Semigroups....Pages 101-109
Krivine’s Theorem and the Indices of a Banach Lattice....Pages 111-121
Representations of Archimedean Riesz Spaces by Continuous Functions....Pages 123-133
Some Aspects of the Spectral Theory of Positive Operators....Pages 135-142
Back Matter....Pages 143-152
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