eBook - ePub

Pre-Riesz Spaces

Name: Pre-Riesz Spaces
ISBN: 9783110475449

Anke Kalauch,

Onno van Gaans,

314 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

Pre-Riesz Spaces

Anke Kalauch,

Onno van Gaans,

About this book

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

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Yes, you can access Pre-Riesz Spaces by Anke Kalauch,Onno van Gaans in PDF and/or ePUB format, as well as other popular books in Mathematik & Mathematische Analyse. We have over one million books available in our catalogue for you to explore.