Pre-compact families of finite sets of integers and weakly null sequences in Banach spaces

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130076Two applications of Nash-Williams' theory of barriers to sequences on Banach spaces are presented: The first one is the $c_0$-saturation of $C(K)$, $K$ countable compacta. The second one is the construction of weakly-null sequences generalizing the example of Maurey-Rosenthal.Functional AnalysisLogic05d10, 46b20Pre-compact families of finite sets of integers and weakly null sequences in Banach spacestext