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An equivalent definition of the vector-valued McShane integral by means of partitions of unity

Tom 151 / 2002

L. Di Piazza, V. Marraffa Studia Mathematica 151 (2002), 175-185 MSC: 28B05, 46G10. DOI: 10.4064/sm151-2-5

Streszczenie

An integral for vector-valued functions on a $\sigma $-finite outer regular quasi-Radon measure space is defined by means of partitions of unity and it is shown that it is equivalent to the McShane integral. The multipliers for both the McShane and Pettis integrals are characterized.

Autorzy

  • L. Di PiazzaDepartment of Mathematics
    University of Palermo
    Via Archirafi, 34
    90123 Palermo, Italy
    e-mail
  • V. MarraffaDepartment of Mathematics
    University of Palermo
    Via Archirafi, 34
    90123 Palermo, Italy
    e-mail

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