We prove the main properties and some convergence theorems for the strong Lusin (SL)-integral for Riesz space-valued functions, dealing with generalized primitives. Also we present some results about equivalence between the (SL)- and the Kurzweil-Henstock integral for Riesz space-valued functions.
Convergence theorems for the (SL)-integral in the Riesz space-context
BOCCUTO, Antonio;
2006
Abstract
We prove the main properties and some convergence theorems for the strong Lusin (SL)-integral for Riesz space-valued functions, dealing with generalized primitives. Also we present some results about equivalence between the (SL)- and the Kurzweil-Henstock integral for Riesz space-valued functions.File in questo prodotto:
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