Problems of infimum in the positive cone (Q2708925)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Problems of infimum in the positive cone |
scientific article |
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21 October 2002
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positive cone
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lattice
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operator inequalities
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Problems of infimum in the positive cone (English)
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If \(A\) and \(B\) are selfadjoint bounded operators on a Hilbert space, then the infimum of \(A\) and \(B\) exists if and only if \(A\geq B\) or \(A\leq B\). In this paper the author gives necessary and sufficient conditions that, for \(A,B\geq 0\), the infimum exists when taken with respect to the ordered space of all positive operators.NEWLINENEWLINEFor the entire collection see [Zbl 0947.00027].
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