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Weak Sequential Compactness and Completeness in Riesz Spaces

Published online by Cambridge University Press:  20 November 2018

Owen Burkinshaw  and
Peter Dodds
Owen Burkinshaw
Affiliation:
Indiana-Purdue University, Indianapolis, Indiana
Peter Dodds
Affiliation:
Flinders University, Bedford Park, Australia
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If L is an Archimedean Riesz space and M an ideal in the order dual of L, the subset A of L is called M-equicontinuous if and only if each monotone decreasing sequence of positive elements of M is uniformly Cauchy on A.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 6 , 01 December 1976 , pp. 1332 - 1339
Copyright
Copyright © Canadian Mathematical Society 1976

References

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