Positive Operators and Semigroups on Banach Lattices

Proceedings of a Caribbean Mathematics Foundation Conference 1990

C.B. Huijsmans, Wilhelm A.J. Luxemburg (Herausgeber)

Buch | Hardcover

152 Seiten

1992 | Reprinted from `ACTA APPLICANDAE MATHEMATICAE', 27/1-2, 1992
Kluwer Academic Publishers (Verlag)
978-0-7923-1964-1 (ISBN)

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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.

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.

Zusatzinfo	VIII, 152 p.
Sprache	englisch
Maße	210 x 297 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-7923-1964-8 / 0792319648
ISBN-13	978-0-7923-1964-1 / 9780792319641
Zustand	Neuware