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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On everywhere-defined integrals


Author: Lester E. Dubins
Journal: Trans. Amer. Math. Soc. 232 (1977), 187-194
MSC: Primary 28A30
MathSciNet review: 0450489
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Abstract: Hardly any finite integrals can be defined for all real-valued functions. In contrast, if infinity is admitted as a possible value for the integral, then every finite integral can be extended to all real-valued functions.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1977-0450489-9
PII: S 0002-9947(1977)0450489-9
Keywords: Integration, measure, finite additivity, linear forms
Article copyright: © Copyright 1977 American Mathematical Society