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The Dual of a Non-reflexive L-embedded Banach Space Contains l∞Isometrically
Bulletin of the Polish Academy of Sciences Mathematics
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 ∞ isometrically. 2010 Mathematics Subject Classification: Primary 46B20; Secondary 46B03, 46B04, 46B26.doi:10.4064/ba58-1-4 fatcat:mz6kvwvmdravvl73ipiff3zyju