I have defined the integral operator on a finite measure space $(X,\Sigma,\mu)$ Orlicz space $T: L^{\Phi}\to L^{\Psi}$, suppose we have the result that says for any bounded sequence $\{f_n\}$, $\{Tf_n\}$ is uniformly integrable. Now I want to know is there any way to show that $\{Tf_n\}$ is weakly sequentially compact?
2026-03-25 06:10:39.1774419039
How to show following is weakly sequentially compact.
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