A project about chains of spaces, regarding topological and algebraic genericity and spaceability

Abstract

We present the example of l^p spaces, where we examine results of topological and algebraic genericity and spaceability. At the end of the paper we include a project with other chains of spaces, mainly of holomorphic functions, as Hardy spaces on the disc.

Except the l^p spaces we give results on Hardy spaces on the unit disc, we add some references, we corect some typos and small changes

Cited by in corpus (1)

• Intersections of ${\ell }^p$ spaces in the Borel hierarchy