A characterization and equations for minimal shape-preserving projections (Q818471)
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scientific article; zbMATH DE number 5013601
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization and equations for minimal shape-preserving projections |
scientific article; zbMATH DE number 5013601 |
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A characterization and equations for minimal shape-preserving projections (English)
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20 March 2006
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Let \(X\) be a Banach space and \(E\) be a subset of \(X\). Let \(P(E)\) denote the set of all projections that leave \(e\) invariant. Does \(P(E)\) contain a minimal projection? That is, does there exist a \(Q\) in \(P(E)\) whose norm is minimal? The present paper deals with this problem. Some applications of the results are presented.
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minimal projections
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shape-preserving
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