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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

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Evaluate the projection operator norm with respect to maximum norm

Consider the normed space $\left(\mathbb{R}^{3},\|\cdot\|\right)$ where $\|\cdot\|=|\cdot|_{\infty}$ is the usual maximum norm. Consider the 2 -dimensional vector subspace $\left \{ (x,y,z):x+y+z=0 \r …
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