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Double Three
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Convergence of the infima of convex functions on $\mathbb{R}^m$
Thank you this is very helpful.
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Convergence of the infima of convex functions on $\mathbb{R}^m$
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Convergence of the infima of convex functions on $\mathbb{R}^m$
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Convergence of the infima of convex functions on $\mathbb{R}^m$
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Convergence of the infima of convex functions on $\mathbb{R}^m$
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Convergence of the infima of convex functions on $\mathbb{R}^m$
Thank you for pointing out the mistakes in my question formulation, and giving the counterexample. I have modified my question to make it more correct. I have glanced through the article. I am really insterested in extending the result to $m >1$, as it's a sub-problem related to my research. I guess I will read the proofs in the article in more detail.
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Convergence of the infima of convex functions on $\mathbb{R}^m$
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Convergence of the infima of convex functions on $\mathbb{R}^m$
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