Pre-Riesz Spaces /

Pre-Riesz Spaces / / Anke Kalauch, Onno van Gaans.

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 techniqu...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package
VerfasserIn:
Kalauch, Anke,
van Gaans, Onno,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2018]
©2019
Year of Publication:2018
Language:English
Series:De Gruyter Expositions in Mathematics , 66
Online Access:
Physical Description:1 online resource (XIII, 301 p.)
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Table of Contents:
  • Frontmatter
  • 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

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