EDB — 111

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Definition 25

[111] Let $B_{1}, B_{2}$ be two normed vector spaces. A function $f : B_{1} \to B_{2}$ is a linear isometry if it is linear and if

\begin{matrix} (1) & {‖ z ‖}_{B_{1}} = {‖ f (z) ‖}_{B_{2}} \forall z \in B_{1} . \end{matrix}

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Authors: "Mennucci , Andrea C. G." .

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