The Integral Iμ on L1(μ)

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


This section is devoted to the construction of an integral I μ from a measure μ, to the relationships between μ and I μ (especially for Borel measures μ for ℝ), and to a brief consideration of the vector spaces L p (μ), 1 ≦ p ≦∞, associated with μ.


Borel Measure Compact Neighborhood Pointwise Limit Regular Borel Measure Disjoint Sequence 
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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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