The Dual of a Non-reflexive L-embedded Banach Space Contains $l^{∞}$ Isometrically

• Autorzy: Hermann Pfitzner
• 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.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 46B04: Isometric theory of Banach spaces
• 46B03: Isomorphic theory (including renorming) of Banach spaces
• 46B26: Nonseparable Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2010
• Tom: 58
• Numer: 1
• Strony: 31-38

Daty

wydano

2010

Twórcy

autor

Hermann Pfitzner

• Université d'Orléans, BP 6759, F-45067 Orléans Cedex 2, France

Identyfikatory

DOI

10.4064/ba58-1-4