We give necessary and sufficient conditions for the Kurzweil–Henstock integrability of functions given by f =n=1 xnχEn , where xn belong to a Banach space and the sets (En)n are measurable and pairwise disjoint. Also weakly completely continuous operators between Banach spaces are characterized by means of scalarly Kurzweil–Henstock integrable functions
Marraffa, V. (2008). A characterization of strongly measurable Henstock-Kurzweil integrable functions and weakly continuous operators. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 340(2), 1171-1179.
Data di pubblicazione: | 2008 |
Titolo: | A characterization of strongly measurable Henstock-Kurzweil integrable functions and weakly continuous operators |
Autori: | |
Citazione: | Marraffa, V. (2008). A characterization of strongly measurable Henstock-Kurzweil integrable functions and weakly continuous operators. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 340(2), 1171-1179. |
Rivista: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.jmaa.2007.09.033 |
Abstract: | We give necessary and sufficient conditions for the Kurzweil–Henstock integrability of functions given by f =n=1 xnχEn , where xn belong to a Banach space and the sets (En)n are measurable and pairwise disjoint. Also weakly completely continuous operators between Banach spaces are characterized by means of scalarly Kurzweil–Henstock integrable functions |
Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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