Dense Lineability and algebrability of ${\ell }^{\infty }\setminus c_0$

Abstract

We show that the set ${\ell }^{\infty }\setminus c_0$ is dense-lineable and dense-algebrable answering a question posed by Nestoridis and complementing a result by García-Pacheco, Martín and Seoane-Sepúlveda.