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Spaces of p-integrable Functions with Respect to a Vector Measure |
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| Authors: | Antonia Fernández Fernando Mayoral Francisco Naranjo Carman Sáez Enrigue A Sánchez-Pérez |
| Institution: | (1) Dpto. Matemática Aplicada II, Escuela Técnica Superior de Ingenieros, Camino de los Descubrimientos, s/n, 41092 Sevilla, Spain;(2) Dpto. Matemática Aplicada II, Escuela Universitaria Politécnica, c/ Virgen de áfrica, 7, 41011 Sevilla, Spain;(3) Dpto. de Matemática Aplicada, Universidad Politécnica de Valencia, Camino de Vera, 14, 46022 Valencia, Spain |
| Abstract: | We study several properties of the Banach lattices Lp (m) and Lpw (m) of p-integrable scalar functions and weakly p-integrable scalar functions with respect to a countably additive vector measure m. The relation between these two spaces plays a fundamental role in our analysis. This research has been partially supported by La Consejería de Educatión y Ciencia de la Junta de Andalucía. |
| Keywords: | 46G10 46E30 |
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