Resumen de Properties of intersection in the geometry of sequences in Banach spaces

Felicísimo García-Castellón , Esteban Induráin Eraso

• 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.\newline 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.