The Dual of a Non-reflexive L-embedded Banach Space Contains $l^{\infty }$ Isometrically
Volume 58 / 2010
Bulletin Polish Acad. Sci. Math. 58 (2010), 31-38
MSC: Primary 46B20; Secondary 46B03, 46B04, 46B26.
DOI: 10.4064/ba58-1-4
Abstract
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 $l^{\infty }$ isometrically.
