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A note on vector lattices

Published online by Cambridge University Press:  09 April 2009

Sadayuki Yamamuro
Sadayuki Yamamuro
Affiliation:
Department of Mathematics Institute of Advanced Studies Australian National UniversityCanberra
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Let E be a vector lattice in the sense of Birkhoff [1]. We use the following notations:

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 7 , Issue 1 , February 1967 , pp. 32 - 38
Copyright
Copyright © Australian Mathematical Society 1967

References

[1]Birkhoff, G., Lattice Theory, 1948.Google Scholar
[2]Kantorovitch, L. V., Vulich, B. E. and Pinsker, A. K., Functional Analysis in Partially Ordered Spaces, (Moscow, 1950; Russian).Google Scholar
[3]Topping, D. M., ‘Some homological pathology in vector lattices’, Canadian J. Math., 17 (1965), 411–428.CrossRefGoogle Scholar
[4]Yamamuro, S., ‘Monotone completeness of normed semi-ordered linear spaces’, Pacific J. Math., 7 (1957), 1715–1725.CrossRefGoogle Scholar