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Some norm inequalities concerning generalized inverses, 2 |
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| Authors: | P.J. Maher |
| Affiliation: | aMathematics and Statistics Group, Middlesex University, Hendon Campus, The Burroughs, London NW4 4BT, England, United Kingdom |
| Abstract: | We extend to the von Neumann–Schatten classes Cp and norms ·p, where 2 p < ∞, Penrose’s result on minimizing AXB − C2. We give an example to show that this extension does not hold for 1 p < 2. The proof of the global inequality depends on local considerations. |
| Keywords: | Generalized inverses Moore–Penrose inverse von Neumann–Schatten classes and norms |
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