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6:40 AM
Weak convergence + convergence of the norm implies strong convergence in Orlicz spaces; I would guess that the tag could be suitable there; at the same time, all five slots are already taken.
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Q: Weak convergence + convergence of the norm implies strong convergence in Orlicz spaces

leo monsaingeonIt is known [1, proposition 3.32] and a classical trick in PDEs that, in any uniformly convex Banach space $X$, weak convergence $x_n\rightharpoonup x$ together with convergence of the norm $\|x_n\|_X\to \|x\|_X$ implies strong convergence $\|x_n-x\|_X\to 0$. The typical example arising in PDEs i...

Since a question can only have five tags (and Stack Exchange is unlikely to change this), this is one of the problems related to creating too many very specific tags.
 

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