Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-03T01:05:41.083Z Has data issue: false hasContentIssue false

Integration of Non-Measurable Functions (II)

Published online by Cambridge University Press:  20 November 2018

Elias Zakon*
Affiliation:
University of Windsor, Windsor, Ontario, Canada
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

This is a supplement to a previous paper [4] in which integration was developed for arbitrary extended-real functions over arbitrary sets in an outer measure space S, *, m* where m*; also written m, is a regular outer measure on all subsets of an arbitrary set S≠ø, and * is thsetse family of all m*-measurable sets.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1974

References

1. Hewitt, E. and Stromberg, K.,Real and Abstract Analysis, Springer Verlag, New York, Inc. 1965.Google Scholar
2 Kelley, J.L., General Topology, D. Van Nostrand Co. Inc., 1960.Google Scholar
3. Munroe, M.E., Measure and Integration, 2nd Edition, Addison-Wesley Publishing Co. Reading Mass., 1971.Google Scholar
4. Zakon, E., Integration of non-measurable functions, Canad. Math. Bulletin, vol. 9, no. 3, 1966, pp. 307-330.Google Scholar