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).
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- Riesz Spaces
- Springer Berlin Heidelberg
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