Norm-attaining polynomials and differentiability

• Autorzy: Juan Ferrera
• Języki publikacji: EN

Abstrakty

EN

We give a polynomial version of Shmul'yan's Test, characterizing the polynomials that strongly attain their norm as those at which the norm is Fréchet differentiable. We also characterize the Gateaux differentiability of the norm. Finally we study those properties for some classical Banach spaces.

Kategorie tematyczne

• 46G25: (Spaces of) multilinear mappings, polynomials
• 46B20: Geometry and structure of normed linear spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2002
• Tom: 151
• Numer: 1
• Strony: 1-21

Daty

wydano

2002

Twórcy

autor

Juan Ferrera

• Departamento de Análisis Matemático, Universidad Complutense de Madrid, 28040 Madrid, Spain

Identyfikatory

DOI

10.4064/sm151-1-1