On multilinear mappings attaining their norms.

• Autorzy: Maria D. Acosta
• Języki publikacji: EN

Abstrakty

EN

We show, for any Banach spaces X and Y, the denseness of the set of bilinear forms on X × Y whose third Arens transpose attains its norm. We also prove the denseness of the set of norm attaining multilinear mappings in the class of multilinear mappings which are weakly continuous on bounded sets, under some additional assumptions on the Banach spaces, and give several examples of classical spaces satisfying these hypotheses.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1998
• Tom: 131
• Numer: 2
• Strony: 155-165

Daty

wydano

1998

otrzymano

1997-09-22

poprawiono

1998-03-02

Twórcy

autor

Maria D. Acosta

• Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada 18071, Granada, Spain

Bibliografia

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