New results on reverse order law for \(\{1,2,3\}\)- and \(\{1,2,4\}\)-inverses of bounded operators (Q2840623)
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scientific article; zbMATH DE number 6190126
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New results on reverse order law for \(\{1,2,3\}\)- and \(\{1,2,4\}\)-inverses of bounded operators |
scientific article; zbMATH DE number 6190126 |
Statements
23 July 2013
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block-operator matrix
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Moore-Penrose inverse
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reverse order law
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\(\{1,2,3\}\)-inverse
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\(\{1,2,4\}\)-inverse
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Hilbert space
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New results on reverse order law for \(\{1,2,3\}\)- and \(\{1,2,4\}\)-inverses of bounded operators (English)
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Using some block-operator matrix techniques, the authors establish necessary and sufficient conditions for the reverse order law to hold for \(\{1,2,3\}\)- and \(\{1,2,4\}\)-inverses of bounded operators on Hilbert spaces. Furthermore, the authors present some new equivalents of the reverse order law for the Moore-Penrose inverse.
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