Grothendieck and ${\ell }_{\infty }$-Grothendieck subspaces of ${\ell }_{\infty }$

Manuel González, Tomasz Kania

Let $\mathfrak{c}=2^{{\aleph }_0}$. We prove that ${\ell }_{\infty }$ contains $2^{\mathfrak{c}}$ pairwise non-isomorphic non-reflexive Grothendieck subspaces. They may all be chosen to con…