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A Hahn-Banach theorem for semifields

Published online by Cambridge University Press:  09 April 2009

Martin Kleiber  and
W. J. Pervin
Martin Kleiber
Affiliation:
Villanova University Drexel Institute of Technology
W. J. Pervin
Affiliation:
Villanova University Drexel Institute of Technology
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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
Journal of the Australian Mathematical Society , Volume 10 , Issue 1-2 , August 1969 , pp. 20 - 22
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