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Integrals* and Products

  • John L. Kelley
  • T. P. Srinivasan
Part of the Graduate Texts in Mathematics book series (GTM, volume 116)

Abstract

It will be convenient to extend the domain of an integral to include certain ℝ* valued functions, and to extend the integral to an ℝ* valued functional on the larger domain. We make this extension and subsequently phrase the Beppo Levi theorem and Fatou’s lemma in this context. A more serious use of the new construct is then made in the study of product integrals and product measures.

Keywords

Compact Subset Integrable Function Product Measure Countable Union Compact Hausdorff Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1988

Authors and Affiliations

  • John L. Kelley
    • 1
  • T. P. Srinivasan
    • 2
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA
  2. 2.Department of MathematicsThe University of KansasLawrenceUSA

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