The Banach-Saks properties in Orlicz-Lorentz spaces
Summary: The Banach-Saks index of an Orlicz-Lorentz space \(\Lambda_{\varphi, w}(I)\) for both function and sequence case, is computed with respect to its Matuszewska-Orlicz indices of \(\varphi\). It is also shown that an Orlicz-Lorentz function space has weak Banach-Saks (resp., Banach-Saks) property if and only if it is separable (resp., reflexive).
scientific article; zbMATH DE number 7022363
scientific article