The Dual of a Non-reflexive L-embedded Banach Space Contains l∞ Isometrically
Hermann Pfitzner
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010), p. 31-38 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:281332 
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     title = {The Dual of a Non-reflexive L-embedded Banach Space Contains $l^{$\infty$}$ Isometrically},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {58},
     year = {2010},
     pages = {31-38},
     zbl = {1201.46013},
     language = {en},
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Hermann Pfitzner. The Dual of a Non-reflexive L-embedded Banach Space Contains $l^{∞}$ Isometrically. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010) pp. 31-38. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba58-1-4/