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 Volume 7, Number 3, 2017, Pages 1022-1036                                                                DOI：10.11948/2017064 On measurable functional spaces based on pseudo-addition decomposable measures Dong Qiu,Shuqiao Chen,Jiaqi Song Keywords:Strict pseudo-additions, measurable functional spaces, decomposable measures. Abstract: In this paper, we mainly discuss the measurable functional spaces based on strict pseudo-additions. Particularly, we obtained the some important theorems for the measurable functional spaces based on a strict pseudo-addition. Furthermore, we got that the some properties of the sequence of a.e. convergence and convergence in $\oplus$-measure, and the relationship between a.e. convergence and convergence in $\oplus$-measure on the measurable functional spaces based on a strict pseudo-addition. PDF      Download reader