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Pre-Riesz spaces /
"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 o...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; Boston :
Walter de Gruyter GmbH,
[2019]
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| Colección: | De Gruyter expositions in mathematics ;
66. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | "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"-- |
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| Notas: | "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." |
| Descripción Física: | 1 online resource (xiii, 301 pages) : illustrations. |
| Bibliografía: | Includes bibliographical references (pages 289-295) and index. |
| ISBN: | 9783110476293 3110476290 9783110475449 3110475448 |
| ISSN: | 0938-6572 ; |