The Banach-Saks properties in Orlicz-Lorentz spaces


The Banach-Saks index of an Orlicz-Lorentz space Λφ,w (I) for both function and sequence case, is computed with respect to its Matuszewska-Orlicz indices of φ. 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). © 2014 Anna Kamińska and Han Ju Lee.

Publication Title

Abstract and Applied Analysis