A Class of Hereditarily $ell_p(c_0)$ Banach spaces

Abstract

We extend the class of Banach sequence spaces constructed by Ledari, as presented in ''A class of hereditarily $ell_1$ Banach spaces without Schur property'' and obtain a new class of hereditarily $ell_p(c_0)$ Banach spaces for $1leq p<infty$. Some other properties of this spaces are studied.

Keywords

• Banach spaces
• Nowhere dual Schur property
• Hereditarily $ell_p(c_0)$ Banach spaces