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Quasi-compactness and uniform ergodicity of positive operators |
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| Authors: | Michael Lin |
| Institution: | (1) Ben Gurion University of the Negev, Beer Sheva, Israel |
| Abstract: | The following converse to the Yosida-Kakutani theorem is proved: IfT is a positive operator on a Banach lattice with ‖T n‖/n → 0, thenT is quasi-compact if (and only if) the averages of its iterates converge uniformly to a finite-dimensional projection. |
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