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Does anyevery Banach space admit an equivalent strictly convex norm (i.e. such a norm, that a unit sphere does not contain segments)?
Does any Banach space admit an equivalent strictly convex norm (i.e. such a norm, that a unit sphere does not contain segments)?
Does every Banach space admit an equivalent strictly convex norm (i.e. such a norm, that a unit sphere does not contain segments)?
