Remote Access Transactions of the American Mathematical Society
Green Open Access

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
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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.

References [Enhancements On Off] (What's this?)

  • [1] Bruno de Finetti, Theory of probability, Vol. 1, Wiley, New York, 1975
  • [2] Leonard J. Savage, The foundations of statistics, Second revised edition, Dover Publications, Inc., New York, 1972. MR 0348870

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 28A30

Retrieve articles in all journals with MSC: 28A30

Additional Information

Keywords: Integration, measure, finite additivity, linear forms
Article copyright: © Copyright 1977 American Mathematical Society

American Mathematical Society