Article contents
A Hahn-Banach theorem for semifields
Published online by Cambridge University Press: 09 April 2009
Extract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Iseki and Kasahara (see [3]) have given a Hahn-Banach type theorem for semifield-valued linear functionals on real linear spaces. We shall generalize their result by considering linear spaces over semifields.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1969
References
[1]Antonovskii, M. Ya., Boltyanskii, V. G., Sarymsakov, T. A., Topological Semifields, (Izdat. Sarn. GU, Tashkent, 1960).Google Scholar
[2]Antonovskii, M. Ya., ‘On the axiomatisation of topological semifields’, Dokl. Akad. Nauk UzSSR 10 (1961) 3–6.Google Scholar
[3]Iseki, K., Kasahara, S., ‘On Hahn-Banach type extension theorem’, Proc. Japan Acad. 41 (1965) 29–30.Google Scholar
- 3
- Cited by