From the Fourier transform we see that $L^2([0,2\pi])$ is isometrically isomorphic to $l^2(\mathbb{Z})$. Is this true for other spaces and values of $p$ besides $p=2$? What about if we ask about isomorphisms that are not necessarily isometric?
2026-04-29 08:22:33.1777450953
Is $L^p$ isomorphic to $l^p$?
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