The geometric mean, operator inequalities, and the Wheatstone bridge (Q1098079)
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scientific article; zbMATH DE number 4036526
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The geometric mean, operator inequalities, and the Wheatstone bridge |
scientific article; zbMATH DE number 4036526 |
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The geometric mean, operator inequalities, and the Wheatstone bridge (English)
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1987
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The authors establishes certain operator inequalities that arise when the resistors in the Wheastone bridge in circuit theory are replaced by resistance boxes; when nonnegative numbers are replaced by positive operators on Hilbert space. They show that the geometric mean of two positive operators is the unique fixed point of a certain operator mapping that arises from consideration of the Wheastone bridge.
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operator inequalities
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Wheastone bridge in circuit theory
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resistance boxes
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geometric mean of two positive operators
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