1Universidad de Sonora, Hermosillo, México. Email: martha@gauss.mat.uson.mx
]]> Resumen
En este artículo panorámico se presentan cuatro versiones equivalentes de la propiedad de Radon-Nikodým de un espacio de Banach: el teorema de representación de Riesz, el teorema de Lewis-Stegall, un teorema sobre diferenciabilidad de funciones absolutamente continuas y una caracterización geométrica del espacio.
Palabras clave: Medidas vectoriales, integral de Bochner, propiedad de Radon-Nikodým.
In this survey article, we give four equivalent classical versions of the Radon-Nikodým property for Banach spaces, namely, the Riesz representation theorem, the Lewis-Stegall theorem, a result on differentiability of absolutely continuous functions and finally, a geometric characterization of the Banach space.
Key words: Vector measures, Bochner integral, Radon-Nikodým property.
Texto completo disponible en PDF
Referencias
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Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX:
@ARTICLE{RCMv44n2a06,
AUTHOR = {Guzmán-Partida, Martha},
TITLE = {{Representación de medidas vectoriales}},
JOURNAL = {Revista Colombiana de Matemáticas},
YEAR = {2010},
volume = {44},
number = {2},
pages = {129-147}
}