A multiplicative characterization of the power means
arXiv:1103.2574 · doi:10.1112/blms/bdr073
Abstract
A startlingly simple characterization of the p-norms has recently been found by Aubrun and Nechita (arXiv:1102.2618) and by Fernandez-Gonzalez, Palazuelos and Perez-Garcia. We deduce a simple characterization of the power means of order greater than or equal to 1.
7 pages. Version 3: references added; minor edits