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Rendiconti del Circolo Matematico di Palermo

, Volume 56, Issue 1, pp 65–78 | Cite as

Product measures and convergence theorems for product integrals in integration theory for semigroup valued functions

  • Alessandro Trombetta
Article
  • 47 Downloads

Abstract

In [11] Sion has investigated measures and integrals having values in uniform semigroups. In this paper a result which gives sufficient conditions for the existence of a unique product of semigroup valued measures is established. Moreover a convergence theorem for product integrals of semigroup valued functions is proved.

AMS Classification (2000)

28A25 28B10 28B20 

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Copyright information

© Springer 2007

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversitá degli studi della CalabriaCosenza

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