Geodesic
The uniform zero-two law for positive operators in Banach lattices
Studia Mathematica, Tome 131 (1998) no. 2, pp. 149-153 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let T be a positive power-bounded operator on a Banach lattice. We prove: (i) If $inf_n ||T^n(I-T)|| 2$, then there is a k ≥ 1 such that $lim_{n→∞} ||T^n(I-T^k)|| = 0. (ii) $lim_{n→∞} ||T^n(I-T)|| = 0$ if (and only if) $inf_n ||T^n(I-T)|| √3$. 
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     author = {Michael Lin},
     title = {The uniform zero-two law for positive operators in {Banach} lattices},
     journal = {Studia Mathematica},
     pages = {149--153},
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     doi = {10.4064/sm-131-2-149-153},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-131-2-149-153/}
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Michael Lin. The uniform zero-two law for positive operators in Banach lattices. Studia Mathematica, Tome 131 (1998) no. 2, pp. 149-153. doi: 10.4064/sm-131-2-149-153

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