We know that all Hilbert spaces are reflexive. My problem is to show that the reciproque is not true: But I can't find a counterexample. An idea please.
2026-02-23 04:38:27.1771821507
counterexample of reflexive space not hilbert
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$\ell^{p}, L^{p}([0,1])$ with $1 <p <\infty$ are reflexive spaces which are not inner product spaces.