Geodesic
The uniform zero-two law for positive operators in Banach lattices
Studia Mathematica, Tome 131 (1998) no. 2, pp. 149-153

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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) $inf_n ||T^n(I-T)|| √3$.
DOI : 10.4064/sm-131-2-149-153

Michael Lin 1

1 
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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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