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Pre-Riesz Spaces

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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 whi

Author(s): Anke Kalauch; Onno van Gaans
Publisher: de Gruyter
Year: 2019

Language: English
Pages: 301

Contents
Preface
1. A primer on ordered vector spaces
2. Embeddings, covers, and completions
3. Seminorms on pre-Riesz spaces
4. Disjointness, bands, and ideals in pre-Riesz spaces
5. Operators on pre-Riesz spaces
Bibliography
Index