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...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston :
Walter de Gruyter GmbH,
[2019]
|
| Schriftenreihe: | De Gruyter expositions in mathematics ;
66. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "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"-- |
| Beschreibung: | "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." |
| Beschreibung: | 1 online resource (xiii, 301 pages) : illustrations. |
| Bibliographie: | Includes bibliographical references (pages 289-295) and index. |
| ISBN: | 9783110476293 3110476290 9783110475449 3110475448 |
| ISSN: | 0938-6572 ; |
Internformat
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| 504 | |a Includes bibliographical references (pages 289-295) and index. | ||
| 588 | 0 | |a Online resource; title from digital title page (De Gruyter, viewed July 21, 2020). | |
| 520 | |a "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"-- |c Provided by publisher. | ||
| 505 | 0 | |a 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. | |
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| 650 | 6 | |a Espaces de Riesz. | |
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| author | Kalauch, Anke, 1972- Gaans, Onno van, 1971- |
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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. |
| ctrlnum | (OCoLC)1049574525 |
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| discipline | Mathematik |
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| id | ZDB-4-EBA-on1049574525 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:29:06Z |
| institution | BVB |
| isbn | 9783110476293 3110476290 9783110475449 3110475448 |
| issn | 0938-6572 ; |
| language | English |
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| physical | 1 online resource (xiii, 301 pages) : illustrations. |
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| series | De Gruyter expositions in mathematics ; |
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| spelling | Kalauch, Anke, 1972- author. http://id.loc.gov/authorities/names/no2018107411 Pre-Riesz spaces / Anke Kalauch, Onno van Gaans. Berlin ; Boston : Walter de Gruyter GmbH, [2019] ©2019 1 online resource (xiii, 301 pages) : illustrations. text txt rdacontent computer c rdamedia online resource cr rdacarrier De Gruyter expositions in mathematics, 0938-6572 ; volume 66 "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." Includes bibliographical references (pages 289-295) and index. Online resource; title from digital title page (De Gruyter, viewed July 21, 2020). "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. 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. Riesz spaces. http://id.loc.gov/authorities/subjects/sh85114049 Partially ordered spaces. http://id.loc.gov/authorities/subjects/sh85098353 Vector spaces. http://id.loc.gov/authorities/subjects/sh85142456 Espaces de Riesz. Espaces partiellement ordonnés. Espaces vectoriels. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Partially ordered spaces fast Riesz spaces fast Vector spaces fast Gaans, Onno van, 1971- author. http://id.loc.gov/authorities/names/no2018107421 has work: Pre-Riesz spaces (Text) https://id.oclc.org/worldcat/entity/E39PCFw9BB3hckTjwkGpMgVDdP https://id.oclc.org/worldcat/ontology/hasWork Print version: Kalauch, Anke, 1972- Pre-Riesz spaces. Berlin ; Boston : Walter de Gruyter GmbH, [2019] 9783110475395 (DLC) 2018031534 (OCoLC)1023545740 De Gruyter expositions in mathematics ; 66. http://id.loc.gov/authorities/names/n90653843 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1949447 Volltext |
| spellingShingle | Kalauch, Anke, 1972- Gaans, Onno van, 1971- Pre-Riesz spaces / De Gruyter expositions in mathematics ; 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. Riesz spaces. http://id.loc.gov/authorities/subjects/sh85114049 Partially ordered spaces. http://id.loc.gov/authorities/subjects/sh85098353 Vector spaces. http://id.loc.gov/authorities/subjects/sh85142456 Espaces de Riesz. Espaces partiellement ordonnés. Espaces vectoriels. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Partially ordered spaces fast Riesz spaces fast Vector spaces fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85114049 http://id.loc.gov/authorities/subjects/sh85098353 http://id.loc.gov/authorities/subjects/sh85142456 |
| title | Pre-Riesz spaces / |
| title_auth | Pre-Riesz spaces / |
| title_exact_search | Pre-Riesz spaces / |
| title_full | Pre-Riesz spaces / Anke Kalauch, Onno van Gaans. |
| title_fullStr | Pre-Riesz spaces / Anke Kalauch, Onno van Gaans. |
| title_full_unstemmed | Pre-Riesz spaces / Anke Kalauch, Onno van Gaans. |
| title_short | Pre-Riesz spaces / |
| title_sort | pre riesz spaces |
| topic | Riesz spaces. http://id.loc.gov/authorities/subjects/sh85114049 Partially ordered spaces. http://id.loc.gov/authorities/subjects/sh85098353 Vector spaces. http://id.loc.gov/authorities/subjects/sh85142456 Espaces de Riesz. Espaces partiellement ordonnés. Espaces vectoriels. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Partially ordered spaces fast Riesz spaces fast Vector spaces fast |
| topic_facet | Riesz spaces. Partially ordered spaces. Vector spaces. Espaces de Riesz. Espaces partiellement ordonnés. Espaces vectoriels. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Partially ordered spaces Riesz spaces Vector spaces |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1949447 |
| work_keys_str_mv | AT kalauchanke prerieszspaces AT gaansonnovan prerieszspaces |