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Optimization with convex constraints and convex objectives; notions related to convex optimization such as sub-gradients, normal cones, separating hyperplanes

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Minimization over function space [closed]

This is the first time I encounter a problem where I need to minimize a function defined in a function space. Define the function space $A=\{\theta:\mathbb{R}^3 \rightarrow\mathbb{R}|\ \theta\ \text{i …