The geometric mean, operator inequalities, and the Wheatstone bridge
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.
geometric mean of two positive operators
scientific article; zbMATH DE number 4036526
scientific article