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Artículo
Grothendieck locally convex spaces of continuous vector valued functions
(Mathematical Sciences Publishers, 1985-12-01)
Let ^{X, E) be the space of continuous functions from the completely regular Hausdorff space X into the Hausdorff locally convex space E, endowed with the compact-open topology. Our aim is to characterize the ^(X, E) spaces ...
Artículo
I ∞ 0 (∑) no es totalmente tonelado
(Real Academia de Ciencias Exactas, Físicas y Naturales, 1985)
Let ∑ be an infinite σ-field and denote by I ∞ 0 (∑) the space spanned by the characteristic functions of elements of ∑, endowed with the supremum norm. We prove that I ∞ 0 (∑) is not totally barrelled.