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

Jordi Lopez Abad (ELM); S. Todorcevic (ELM)

arxiv: math/0510407 · v3 · submitted 2005-10-19 · 🧮 math.FA · math.LO

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

Jordi Lopez Abad (ELM) , S. Todorcevic (ELM) This is my paper

classification 🧮 math.FA math.LO

keywords sequencesbanachspacesapplicationsbarrierscompactaconstructioncountable

0 comments

read the original 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.

This paper has not been read by Pith yet.

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

discussion (0)