Abstract
In this section we will investigate Riesz spaces and normed Riesz spaces, and deduce some of their basic properties. Most of the results we will present are well-known and go back to the origin of the theory of Riesz spaces. Many of them are due to G. Birkhoff, H. Freudenthal, L.V. Kantorovič, and F. Riesz. We will treat these basic results not very extensively as the intention is to give a self contained introductory part which is as short as possible. The interested reader can find more about this subject in the book of Luxemburg and Zaanen (1971).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Meyer-Nieberg, P. (1991). Riesz Spaces. In: Banach Lattices. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76724-1_1
Download citation
DOI: https://doi.org/10.1007/978-3-642-76724-1_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54201-8
Online ISBN: 978-3-642-76724-1
eBook Packages: Springer Book Archive