The majorizing property for normed lattices whenever norm-null sequences have order-bounded subsequences is equivalent to every P-ideal on ℕ being meager.
Aliprantis and Owen Burkinshaw,Locally solid Riesz spaces with applica- tions to economics, 2nd ed., Mathematical Surveys and Monographs, vol
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Normed lattices majorizing in their norm completions
The majorizing property for normed lattices whenever norm-null sequences have order-bounded subsequences is equivalent to every P-ideal on ℕ being meager.