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Existence and uniqueness of measures

In: Measure and Integration

Author

Listed:
  • Hari Bercovici

    (Indiana University, Department of Mathematics)

  • Arlen Brown

    (Indiana University, Department of Mathematics)

  • Carl Pearcy

    (Texas A&M University, Department of Mathematics)

Abstract

As was shown in Chapter 3 , for any μ ∗: outer measure measurable space measurable space (X, S), the correspondence between the set of measure measures on (X, S) and the set of Lebesgue integral -Lebesgue integrals on (X, S) is a bijection bijection (Theorems 3.29 and 3.37 ). This knowledge is of small value, however, unless one has in hand a good supply of measures to be integrated with respect to. In this chapter we discuss some of the more important ways in which measures arise.

Suggested Citation

  • Hari Bercovici & Arlen Brown & Carl Pearcy, 2016. "Existence and uniqueness of measures," Springer Books, in: Measure and Integration, edition 1, chapter 0, pages 105-132, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-29046-1_5
    DOI: 10.1007/978-3-319-29046-1_5
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