Generalized inverses with respect to general norms. II (Q1173943)
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scientific article; zbMATH DE number 7801
| Language | Label | Description | Also known as |
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| English | Generalized inverses with respect to general norms. II |
scientific article; zbMATH DE number 7801 |
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Generalized inverses with respect to general norms. II (English)
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25 June 1992
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[For part I see ibid. 133, 33-42 (1990; Zbl 0711.15006).] The authors give necessary and sufficient conditions on the real finite normed spaces \((X,\|\centerdot\|_ 1)\) and \((Y,\|\centerdot\|_ 2)\) so that every linear transform \(T:X\to Y\) admits a minimum \(-\|\centerdot\|_ 1\) approximate \(- \|\centerdot\|_ 2\) generalized inverse. The converse is true using the generalized inverse of the above linear transform and holds if the dimensions of both Hilbert spaces are at least 3.
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generalized inverse
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general norms
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