Symmetric Function Means of Positive Operators

Creator(s)

W. N. Anderson, East Tennessee State University
T. D. Morley, Georgia Institute of Technology
G. E. Trapp, West Virginia University

Document Type

Article

Publication Date

1-1-1984

Description

Many authors have studied means involving ratios of the elementary symmetric functions. This work involves generalizing these means to an operator theoretic setting, and extending many of the classical scalar inequalities to operators. It is shown that these operator means are related to electrical networks.

Citation Information

Anderson, W. N.; Morley, T. D.; and Trapp, G. E.. 1984. Symmetric Function Means of Positive Operators. Linear Algebra and Its Applications. Vol.60(C). 129-143. https://doi.org/10.1016/0024-3795(84)90075-2 ISSN: 0024-3795