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Separation of Functions

Published online by Cambridge University Press:  20 November 2018

L. E. May
L. E. May*
Affiliation:
Carleton University, Ottawa, Ontario
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Eames [2], and Jeffery [5], consider separation of sets in a measure space and show that, if A is separated from B, then

where m* denotes outer measure.

In this paper we consider the class, , of nonnegative bounded real-valued functions of a real variable.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 2 , June 1973, pp. 245 - 250
Copyright
Copyright © Canadian Mathematical Society 1973

References

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5. Jeffery, R. L., Sets of k-extent in n-dimensional space, Trans. Amer. Math. Soc. 35 (1933), 629–647.Google Scholar
6. Kestelman, H., Modern theories of integration, Dover, New York, 1960.Google Scholar