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External tangents and closedness of cone + subspace - MaRDI portal

External tangents and closedness of cone + subspace (Q1342354)

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scientific article; zbMATH DE number 710333
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External tangents and closedness of cone + subspace
scientific article; zbMATH DE number 710333

    Statements

    External tangents and closedness of cone + subspace (English)
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    18 June 1998
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    Let \(C\) be a closed cone in a separable normed space \(E\) and \(S\) be a finite-dimensional subspace of \(E\). The authors find a nice geometric criterion for the algebraic sum \(C+S\) to be closed.
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    external tangents
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    closedness of \(\text{cone}+\text{subspace}\)
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    closed cone
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    algebraic sum
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