Pazu
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$R_{\sigma}(\Phi^{1} \circ \Phi^{2}) = R_{\sigma}(\Phi^{1}) \circ R_{\sigma}(\Phi^{2})$
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$R_{\sigma}(\Phi^{1}) \circ R_{\sigma}(\Phi^{2})$ is basically defined by $R_{\sigma}(\Phi^{1} \circ \Phi^{2})$. Note that the layer $(A^1_1 A^2_{L_2}, A^1_1b^2_{L_2}+b^1_1)$ accomplishes for $x_{L}$ ...

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Question concering a proof of the Riesz Representation Theorem
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I kinda overlooked something: Notice that $x - f(x)z \in$ ker$(f) = N$, i.e. $x - f(x)z ⊥ z$ as $z ∈ N^{⊥}$. But from this we can already follow that $\langle (x-f(x)z)\,,\,||z||^{-2}z\rangle = ||z||^{...

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