Lemma 2.31 Let (X, || · ||x), (Y, || · ||Y) be normed vector spaces and F E L(X,Y). Then ||F|c(x,Y) := sup xƐX; ||x|| x=1 ||Fx||y ||Fx||y. V %3D sup xƐX; ||x||x<1 Proof: excersises.

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