The Banach spaces \(\ell _{\infty }(c_{0})\) and \(c_{0}(\ell _{\infty })\) are not isomorphic
Something stronger than the title is proved: the first space is not even isomorphic to a quotient of the second. Details of the corresponding results for all \(\ell_p\) sums will be presented by the authors in a forthcoming paper [\textit{P.\,Cembranos} and \textit{J.\,Mendoza}, ``On the mutually non-isomorphic \(\ell _p (\ell _q )\) spaces'', in press (per bibl.)].
scientific article; zbMATH DE number 5706216