On the local moduli of squareness

• Autorzy: Antonio J. Guirao
• Języki publikacji: EN

Abstrakty

EN

We introduce the notions of pointwise modulus of squareness and local modulus of squareness of a normed space X. This answers a question of C. Benítez, K. Przesławski and D. Yost about the definition of a sensible localization of the modulus of squareness. Geometrical properties of the norm of X (Fréchet smoothness, Gâteaux smoothness, local uniform convexity or strict convexity) are characterized in terms of the behaviour of these moduli.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 46B10: Duality and reflexivity
• 46B03: Isomorphic theory (including renorming) of Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 184
• Numer: 2
• Strony: 175-189

Daty

wydano

2008

Twórcy

autor

Antonio J. Guirao

• Departamento de Matemáticas, Universidad de Murcia, 30100 Espinardo (Murcia), Spain

Identyfikatory

DOI

10.4064/sm184-2-6