The differentiability of Banach space-valued functions of bounded variation (Q2447918)
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| Language | Label | Description | Also known as |
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| English | The differentiability of Banach space-valued functions of bounded variation |
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The differentiability of Banach space-valued functions of bounded variation (English)
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29 April 2014
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The main result of this paper is: Let \(X\) be a Banach space and I = [0,1]. If \(F\): I \(\rightarrow X\) is of bounded variation with respect to the Minkowski functional \(\|.\|_F\) associated to the closed absolutely convex hull of \(F(I)\), then \(F\) is differentiable almost everywhere on I.
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Banach space
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compact range
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differential
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bounded variation
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Minkowski functional
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