The geometric mean, operator inequalities, and the Wheatstone bridge
type: Item
instance of: scholarly article
title: The geometric mean, operator inequalities, and the Wheatstone bridge
zbMATH Open document ID: 0636.47014
DOI: 10.1016/0024-3795(87)90141-8
author: B. George
published in: Linear Algebra and its Applications
publication date: 1987-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 47A30
Mathematics Subject Classification ID: 94C05
zbMATH DE Number: 4036526
zbMATH Keywords: operator inequalities
zbMATH Keywords: Wheastone bridge in circuit theory
zbMATH Keywords: resistance boxes
zbMATH Keywords: geometric mean of two positive operators
reviewed by: Stefan Balint
MaRDI profile type: Publication
full work available at URL: 0024-3795(87)90141-8
OpenAlex ID: W1991620102
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description: scientific article; zbMATH DE number 4036526