Geodesic
A Mean Ergodic Theorem for Multiparameter Superadditive Processes on Banach Lattices
Canadian journal of mathematics, Tome 42 (1990) no. 6, pp. 1018-1040

Voir la notice de l'article provenant de la source Cambridge University Press

Let E be a Banach Lattice. We will consider E to be weakly sequentially complete and to have a weak unit u. Thus we may represent E as a lattice of real valued functions defined on a measure space (χ, , μ). There is a set R ⊂ χ such that R supports a maximal invariant function Φ for a postive contraction T on E [5]. Let N = χ — R be the complement of R. Akcoglu and Sucheston showed that where E + is the positive cone of E. If in addition a monotone condition (UMB) is satisfied, then the same authors showed [4] that converges in norm.
DOI : 10.4153/CJM-1990-054-x
Mots-clés : 47B55, 47A35, 28D05 
Lee, Felix. A Mean Ergodic Theorem for Multiparameter Superadditive Processes on Banach Lattices. Canadian journal of mathematics, Tome 42 (1990) no. 6, pp. 1018-1040. doi: 10.4153/CJM-1990-054-x
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