Symmetric function means of positive operators |
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| Authors: | W.N. Anderson T.D. Morley G.E. Trapp |
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| Affiliation: | Department of Mathematics East Tennessee State University Johnson City, Tennessee 37601, USA;Department of Mathematics Georgia Institute of Technology Atlanta, Georgia 30332, USA;Department of Statistics and Computer Science West Virginia University Morgantown, West Virginia 26506, USA |
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| Abstract: | 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. |
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