The dual of a non-reflexive L-embedded Banach space contains $\ell^\infty$ isometrically.

preprint2010arXivOpen access

See title. (A Banach space is said to be L-embedded if it is complemented in its bidual such that the norm between the two complementary subspaces is additive.)

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The dual of a non-reflexive L-embedded Banach space contains $\ell^\infty$ isometrically.

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The dual of a non-reflexive L-embedded Banach space contains ℓ∞\ell^\inftyℓ∞ isometrically.

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The dual of a non-reflexive L-embedded Banach space contains $\ell^\infty$ isometrically.