On the dual of Orlicz–Lorentz space

Abstract

A description of the Köthe dual of the Orlicz–Lorentz space Λ φ , w \Lambda _{\varphi , w} generated by an Orlicz function φ \varphi and a regular weight function w w is presented. It is also shown that in the case of separable Orlicz–Lorentz spaces the regularity condition on w w is necessary and sufficient for the coincidence of the Banach dual space with the described Köthe dual space.