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Convergence of generic infinite products of order-preserving mappings

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Publication:1284399
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DOI10.1023/A:1009745902513zbMath0923.47032MaRDI QIDQ1284399

Simeon Reich, Zaslavski, Alexander J.

Publication date: 25 October 1999

Published in: Positivity (Search for Journal in Brave)


zbMATH Keywords

asymptotic behaviorgeneric propertyorder-preservinguniform spaceordered Banach spaceunique common fixed pointinfinite products of generic sequences of order-preserving mappingsrandom infinite productweak ergodic theorems


Mathematics Subject Classification ID

Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Dynamical systems and ergodic theory (37-XX)


Related Items (6)

A random weak ergodic property of infinite products of operators in metric spaces ⋮ Generic well-posedness of fixed point problems ⋮ Asymptotic Behavior of Inexact Orbits for a Class of Operators in Complete Metric Spaces ⋮ Generic existence and uniqueness of positive eigenvalues and eigenvectors ⋮ The set of divergent infinite products in a Banach space is \(\sigma\)-porous ⋮ Generic power convergence of order-preserving mappings




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