Banach spaces of $\mathcal{I}$-convergent sequences

Michael A. Rincón-Villamizar, Carlos Uzcátegui Aylwin

We study the space $c_{0,\mathcal{I}}$ of all bounded sequences $(x_n)$ that $\mathcal{I}$-converge to $0$, endowed with the sup norm, where $\mathcal{I}$ is an ideal of subsets of…