Geodesic
The Dual of a Non-reflexive L-embedded Banach Space Contains $l^{\infty }$ Isometrically
Hermann Pfitzner1
1 Université d'Orléans BP 6759 F-45067 Orléans Cedex 2, France
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010) no. 1, pp. 31-38

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ba58-1-4
Keywords: banach space said l embedded complemented its bidual norm between complementary subspaces additive prove dual non reflexive l embedded banach space contains infty isometrically

Hermann Pfitzner 1

1 Université d'Orléans BP 6759 F-45067 Orléans Cedex 2, France 
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Hermann Pfitzner. The Dual of a Non-reflexive L-embedded Banach Space
 Contains $l^{\infty }$ Isometrically. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010) no. 1, pp. 31-38. doi: 10.4064/ba58-1-4

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