Integrals* and Products

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


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.


Compact Subset Integrable Function Product Measure Countable Union Compact Hausdorff Space 
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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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