A multiplicative characterization of the power means

Mathematics – Functional Analysis

Scientific paper

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7 pages. Version 3: references added; minor edits

Scientific paper

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.

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