Description |
1 online resource (xiii, 301 pages) : illustrations |
Series |
De Gruyter expositions in mathematics, 0938-6572 ; volume 66 |
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De Gruyter expositions in mathematics ; 66.
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Contents |
A primer on ordered vector spaces -- Embeddings, covers, and completions -- Seminorms on pre-Riesz spaces -- Disjointness, bands, and ideals in pre-Riesz spaces -- Operators on pre-Riesz spaces |
Summary |
"This monograph develops the theory of operators on partially ordered vector spaces as an extension to the classical theory on Riesz spaces. Structures from vector lattice theory, such as disjointness, ideals and bands are studied with respect to which extend they can be extended to partially ordered vector spaces"-- Provided by publisher |
Notes |
"The book is meant to serve several purposes. First, it is a convenient up-to-date account of the present state of the theory of pre-Riesz spaces for experienced researchers. Second, we tried to make the book a friendly introduction to pre-Riesz spaces for re-searchers starting in the field of positivity. Third, the material in Chapter 1 is a brief overview of the more classical theory of partially ordered vector spaces, and can be used as a source for an introductory graduate course. Throughout the book, we elaborate proofs in quite some detail, so that the exposition is accessible for students with some training in functional analysis." |
Bibliography |
Includes bibliographical references (pages 289-295) and index |
Notes |
Online resource; title from digital title page (De Gruyter, viewed July 21, 2020) |
Subject |
Riesz spaces.
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Partially ordered spaces.
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Vector spaces.
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Partially ordered spaces
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Riesz spaces
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Vector spaces
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Form |
Electronic book
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Author |
Gaans, Onno van, 1971- author.
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LC no. |
2018039652 |
ISBN |
9783110476293 |
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3110476290 |
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9783110475449 |
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3110475448 |
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