Abstract
In this paper, we define new Orlicz-Lorentz spaces . We find the necessary condition and sufficient condition for quasi-normed weighted Lorentz spaces to have Riesz convergence property. Also, we find the similar result for quasi-normed Orlicz-Lorentz space . Furthermore, we find a necessary and sufficient condition for quasi-normed spaces and to have Riesz convergence property where X is a resonant measure space.
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