Quasi-compactness and uniform ergodicity of positive operators

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17 Scopus citations


The following converse to the Yosida-Kakutani theorem is proved: If T is a positive operator on a Banach lattice with {norm of matrix}T n{norm of matrix}/n → 0, then T is quasi-compact if (and only if) the averages of its iterates converge uniformly to a finite-dimensional projection.

Original languageEnglish
Pages (from-to)309-311
Number of pages3
JournalIsrael Journal of Mathematics
Issue number2-3
StatePublished - 1 Jun 1978

ASJC Scopus subject areas

  • Mathematics (all)


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