Abstract
Our main result, as mentioned in the preamble to Chap. 5, is Yosida’s Theorem, characterizing the Riesz spaces that are isomorphic to C(X) for some compact Hausdorff space X. At the background we have Alaoglu’s Theorem, giving us the space X we need.
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
Corresponding author
Rights and permissions
Copyright information
© 2016 Atlantis Press and the author(s)
About this chapter
Cite this chapter
Groenewegen, G.L.M., van Rooij, A.C.M. (2016). Yosida’s Representation Theorem. In: Spaces of Continuous Functions. Atlantis Studies in Mathematics, vol 4. Atlantis Press, Paris. https://doi.org/10.2991/978-94-6239-201-4_6
Download citation
DOI: https://doi.org/10.2991/978-94-6239-201-4_6
Published:
Publisher Name: Atlantis Press, Paris
Print ISBN: 978-94-6239-200-7
Online ISBN: 978-94-6239-201-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)