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

• Autorzy: L. Di Piazza , V. Marraffa
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 28B05: Vector-valued set functions, measures and integrals
• 46G10: Vector-valued measures and integration

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2002
• Tom: 151
• Numer: 2
• Strony: 175-185

Daty

wydano

2002

Twórcy

autor

L. Di Piazza

• Department of Mathematics, University of Palermo, Via Archirafi, 34, 90123 Palermo, Italy

autor

V. Marraffa

• Department of Mathematics, University of Palermo, Via Archirafi, 34, 90123 Palermo, Italy

Identyfikatory

DOI

10.4064/sm151-2-5