Properties of intersection in the geometry of sequences in Banach spaces (Q1083656)

We consider properties of sequences in a Banach space through the geometrical behaviour of the closed linear spans of their subsequences. We study new families of intersection properties, generalizing the results of Courage-Davis, Plans, and Reyes. We end with a table showing the structure of a sequence by means of its intersection properties. This table, in our opinion, closes the study of ''finite'' intersection properties of a sequence.