Question: Does the norm (|cdot|_{1}) on (L^{1}left([0,1], mathscr{B}[0,1],left.lambda^{1}ight|_{[0,1]}ight)) derive from an inner product?

Does the norm \(\|\cdot\|_{1}\) on \(L^{1}\left([0,1], \mathscr{B}[0,1],\left.\lambda^{1}ight|_{[0,1]}ight)\) derive from an inner product?

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