Simply regulated functions and semivariation in uniformly convex spaces (Q1978970)
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scientific article; zbMATH DE number 1449525
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Simply regulated functions and semivariation in uniformly convex spaces |
scientific article; zbMATH DE number 1449525 |
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Simply regulated functions and semivariation in uniformly convex spaces (English)
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21 May 2000
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The author shows that in a uniformly convex Banach space every function with bounded semivariation is also simply regulated (with respect to a certain bilinear form on the triple \((L(X),X,X)\) of the Banach space \(X\) and the space of bounded linear operators \(L(X)\) on it).
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bilinear triples
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generalized Riemann integral
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regulated functions
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simply regulated functions
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uniformly convex Banach space
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function with bounded semivariation
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