Product measures and convergence theorems for product integrals in integration theory for semigroup valued functions |
| |
Authors: | Alessandro Trombetta |
| |
Affiliation: | (1) Dipartimento di Matematica, Universitá degli studi della Calabria, Arcavacata di Rende, 87036 Cosenza |
| |
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. |
| |
Keywords: | KeywordHeading" >AMS Classification (2000) 28A25 28B10 28B20 |
本文献已被 SpringerLink 等数据库收录! |