Operator means and networks

Research output: Contribution to journalArticlepeer-review


The operator means of two variables are known to be weighted arithmetic averages of weighted harmonic means. The passage from 2 to 3 or more variables offers conceptual difficulties, and besides the symmetric means of Anderson, Morley, and Trapp next to nothing is known. In this paper we construct and study a new family of operator means in any number of variables. Our construction is motivated by network considerations and it generalizes the above mentioned symmetric means.

Original languageEnglish
Pages (from-to)157-182
Number of pages26
JournalIntegral Equations and Operator Theory
Issue number2
StatePublished - Mar 1991

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory


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