Artículo
The Fatou Completion of a Fréchet Function Space and Applications
Autor/es | Campo Acosta, Ricardo del
Ricker, W. J. |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2010 |
Fecha de depósito | 2022-07-26 |
Publicado en |
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Resumen | Given a metrizable locally convex-solid Riesz space of measurable functions we provide a procedure to
construct a minimal Fréchet (function) lattice containing it, called its Fatou completion. As an
application, we obtain ... Given a metrizable locally convex-solid Riesz space of measurable functions we provide a procedure to construct a minimal Fréchet (function) lattice containing it, called its Fatou completion. As an application, we obtain that the Fatou completion of the space L 1 (ν) of integrable functions with respect to a Fréchet-space-valued measure ν is the space L 1 w(ν) of scalarly ν-integrable functions. Further consequences are also given. |
Cita | Campo Acosta, R.d. y Ricker, W.J. (2010). The Fatou Completion of a Fréchet Function Space and Applications. Journal of the Australian Mathematical Society, 88 (1), 49-60. |
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