Pre-Riesz Spaces
Language: English
Published by De Gruyter, DE, 2018
Series: Book 72 of 100 - De Gruyter Expositions in Mathematics
- Hardcover
- New
Seller: Rarewaves.com UK, London, United KingdomRarewaves.com UK
AbeBooks seller since June 11, 2025
Condition: New
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Add to basketItem description from seller
This monograph develops the theory of pre-Riesz spaces, which are the partially ordered vector spaces that embed order densely into Riesz spaces. Concepts from Riesz space theory such as disjointness, ideals, and bands are extended to pre-Riesz spaces. The analysis revolves around embedding techniques, including the Riesz completion and the functional representation. In the same spirit, norms and topologies on a pre-Riesz space and their extensions to the Riesz completion are examined. The generalized concepts are used to investigate disjointness preserving operators on pre-Riesz spaces and related notions. The monograph presents recent results as well as being an accessible introduction to the theory of partially ordered vector spaces and positive operators. 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.
Seller Inventory # LU-9783110475395
- Title
- Pre-Riesz Spaces
- Author
- Anke Kalauch, Onno van Gaans
- Publisher
- De Gruyter, DE
- Publication year
- 2018
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 3110475391
- ISBN 13
- 9783110475395
- Item weight
- 664 grams
- Series
- Book 72 of 100: De Gruyter Expositions in Mathematics
"Synopsis" may belong to another edition of this title.
About the Author
Anke Kalauch, TU Dresden, Germany;
Otto van Gaans, Leiden University, The Netherlands.
"About the title" may belong to another edition of this title.
Rarewaves.com UK
London, United Kingdom
AbeBooks seller since June 11, 2025
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