Optimal Domains for L0-valued Operators Via Stochastic Measures |
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| Authors: | Guillermo P. Curbera Olvido Delgado |
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| Affiliation: | (1) Facultad de Matemáticas, Universidad de Sevilla, Aptdo. 1160, Sevilla, 41080, Spain;(2) Departamento de Matemática Aplicada II, Escuela Universitaria Politécnica, Universidad de Sevilla, c/ Virgen de áfrica 7, Sevilla, 41011, Spain |
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| Abstract: | We study extension of operators T: E→ L0([0, 1]), where E is an F–function space and L0([0, 1]) the space of measurable functions with the topology of convergence in measure, to domains larger than E, and we study the properties of such domains. The main tool is the integration of scalar functions with respect to stochastic measures and the corresponding spaces of integrable functions. Partially supported by D.G.I. #MTM2006-13000-C03-01 (Spain). |
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| Keywords: | 46G10 47B38 46A16 46E30 |
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