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

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Abstract

An integral for vector-valued functions on a σ-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
Original languageEnglish
Pages (from-to)175-185
Number of pages11
JournalStudia Mathematica
Volume151
Publication statusPublished - 2002

All Science Journal Classification (ASJC) codes

  • General Mathematics

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