An elementary proof of an order preserving inequality (Q582558)
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scientific article; zbMATH DE number 4131085
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An elementary proof of an order preserving inequality |
scientific article; zbMATH DE number 4131085 |
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An elementary proof of an order preserving inequality (English)
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1989
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The author presents an elementary and shorter proof of his former inequality: \[ (B^ rA^ pB^ r)^{1/q}\geq B^{(p+2r)q}, \] which is valid for Hilbert space operators \(A\geq B\geq 0\) and real numbers p, q, r satisfying: \(r\geq 0\), \(p\geq 0\), \(q\geq 1\), \((1+2r)q\geq p+2r\).
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order preserving inequality
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