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Diagonals of Separately Absolutely Continuous Mappings Coincide with the Sums of Absolutely Convergent Series of Continuous Functions
Published online by Cambridge University Press: 10 June 2015
Abstract
We prove that, for an interval X ⊆ ℝ and a normed space Z, diagonals of separately absolutely continuous mappings f : X2 → Z are exactly mappings g : X → Z, which are the sums of absolutely convergent series of continuous functions.
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- Copyright © Edinburgh Mathematical Society 2016