On the dual of Orlicz-Lorentz space

Abstract

A description of the Köthe dual of the Orlicz-Lorentz space Λφ,ω generated by an Orlicz function φ and a regular weight function w is presented. It is also shown that in the case of separable Orlicz-Lorentz spaces the regularity condition on w is necessary and sufficient for the coincidence of the Banach dual space with the described Köthe dual space.

Publication Title

Proceedings of the American Mathematical Society

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