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
Di Piazza L., Marraffa V. (2002). An equivalent definition of the vector-valued McShane integral by means of partitions of unity. STUDIA MATHEMATICA, 151(2), 175-185 [10.4064/sm151-2-5].
An equivalent definition of the vector-valued McShane integral by means of partitions of unity
Di Piazza L.;Marraffa V.
2002-01-01
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 characterizedFile in questo prodotto:
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