On the necessary and sufficient conditions of the continuity of M-P inverses \(A_ x^ +\) (Q1207260)
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scientific article; zbMATH DE number 149411
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the necessary and sufficient conditions of the continuity of M-P inverses \(A_ x^ +\) |
scientific article; zbMATH DE number 149411 |
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On the necessary and sufficient conditions of the continuity of M-P inverses \(A_ x^ +\) (English)
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1 April 1993
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Let \(A\) be a continuous map from a topological space \(X\) to the semi- Fredholm operators \(SF(H)\). As the last result of the paper, the authors give a necessary and sufficient condition that the map \(A^ +x=(Ax)^ +(x\in X)\) is continuous, where \((Ax)^ +\) is the Moore-Penrose inverse of \(Ax\).
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semi-Fredholm operators
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Moore-Penrose inverse
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0.92124075
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0.8672522
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0.8509494
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0.8491817
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