The Dual of a Non-reflexive L-embedded Banach SpaceContains l~∞ Isometrically

摘要

A Banach space is said to be L-embedded if it is complemented in its bidual in such a way that the norm between the two complementary subspaces is additive. We prove that the dual of a non-reflexive L-embedded Banach space contains l~∞ isometri-cally.