On the dual of Orlicz–Lorentz space

Hudzik, H.; Kamińska, A.; Mastyło, M.

doi:10.1090/S0002-9939-02-05997-X

On the dual of Orlicz–Lorentz space
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by H. Hudzik, A. Kamińska and M. Mastyło PDF

Proc. Amer. Math. Soc. 130 (2002), 1645-1654 Request permission

Abstract:

A description of the Köthe dual of the Orlicz–Lorentz space $\Lambda _{\varphi , w}$ generated by an Orlicz function $\varphi$ 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.

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