Pre-compact families of finite sets of integers and weakly null sequences in Banach spaces
Jordi Lopez Abad, S. Todorcevic
Abstract
Two applications of Nash-Williams' theory of barriers to sequences on Banach spaces are presented: The first one is the c0-saturation of C(K), K countable compacta. The second one is the construction of weakly-null sequences generalizing the example of Maurey-Rosenthal.
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