c0, l1 and l∞ in Function Spaces

Abstract

Since the birth of Banach space theory, it has been an important goal to know how are the subspaces of a given Banach space. An interesting part of that study has been focused in the search of criteria for a Banach space to have any of the classical sequence spaces as a subspace. Several deep results have revealed how the presence (or the absence) of such subspaces provides a very good insight in the internal structure of the Banach spaces involved.