The dual of a non-reflexive L-embedded Banach space contains l∞ isometrically

• Autorzy: Pfitzner H.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

L-embedded Banach spaces; L-summand; isometric copies of Co

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2010
• Tom: Vol. 58, no 1
• Strony: 31--38
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Pfitzner H.

• Universite d'Orleans, BP 6759, F-45067 Orleans Cedex 2, France,

Bibliografia

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• [4] P. Harmand, B. Werner, and W. Werner, M-ideals in Banach Spaces and Banach Algebras, Lecture Notes in Math. 1547, Springer, 1993.
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• [7] H. Pfitzner, L-summands in their biduals have Pełczynski’s property (V*), Studia Math. 104 (1993), 91-98.
• [8] H. Pfitzner, A note on asymptotically isometric copies of l1 and CQ, Proc. Amer. Math. Soc. 129 (2001), 1367-1373.
• [9] H. Pfitzner, Separable L-embedded Banach spaces are unique preduals, Bull. London Math. Soc. 39 (2007), 1039-1044.
• [10] S. Simons, On the Dunford-Pettis property and Banach spaces that contain Co, Math. Ann. 216 (1975), 225-231.