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Monotone Functions on Linear Lattices

Published online by Cambridge University Press:  20 November 2018

H. W. Ellis  and
Hidegorô Nakano
H. W. Ellis
Affiliation:
Queen s University and the Summer Institute of the Canadian Mathematical Congress
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If R is a sequentially continuous linear lattice, a function f(x), denned on R+ = {x:0 ≤ x ∊ R} with 0 ≤ f(x) ≤ + ∞, will be called a monotone function if it satisfies

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 15 , 1963 , pp. 226 - 236
Copyright
Copyright © Canadian Mathematical Society 1963

References

1. Bourbaki, N., Éléments de mathématique, Fasc. XIII, “Integration,” Chaps. I-IV (Paris, 1952).Google Scholar
2. Ellis, H. W. and I, Halperin, Function spaces determined by a levelling length function, Can. J. Math., 5 (1953), 576–592.Google Scholar
3. Nakano, Hidegorô, Modulared semi-ordered linear spaces (Tokyo, 1950)Google Scholar