On the regular cosine family of linear correspondences (Q443923)
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scientific article; zbMATH DE number 6065220
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the regular cosine family of linear correspondences |
scientific article; zbMATH DE number 6065220 |
Statements
On the regular cosine family of linear correspondences (English)
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13 August 2012
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Let \(X\) and \(Y\) be normed spaces, \(X_0\) the completion of \(X\), \(C \subset X\) a convex cone with nonempty interior. For a continuous linear correspondence (multivalued linear operator) \(\varphi : C \multimap Y,\) the authors prove the existence of a unique continuous linear extension on \(cl_{X_0}C\). Some properties of a cosine family of continuous linear correspondences are studied.
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linear correspondence
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multivalued linear operator
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cosine family
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extension
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0.89764297
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0.86773306
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0.8506613
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