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

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

2005-10-19

arxiv.org/abs/math/0510407v3

Mathematics

Functional Analysis

Scientific paper

Two 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.

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