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

Jordi Lopez Abad; S. Todorcevic

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arXiv · math/0510407

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

Jordi Lopez Abad·S. Todorcevic

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Abstract

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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BibTeX RIS

Jordi Lopez Abad, S. Todorcevic. 2007-06-11. Pre-compact families of finite sets of integers and weakly null sequences in Banach spaces. https://arxiv.org/abs/math/0510407

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