Characterization of normed linear spaces with generalized Mazur intersection property

• Autorzy: Yunbai Dong , Qingjin Cheng
• Języki publikacji: EN

Abstrakty

EN

Let 𝓐 be a compatible collection of bounded subsets in a normed linear space. We give a characterization of the following generalized Mazur intersection property: every closed convex set A ∈ 𝓐 is an intersection of balls.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 46B10: Duality and reflexivity

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 219
• Numer: 3
• Strony: 193-200

Daty

wydano

2013

Twórcy

autor

Yunbai Dong

• School of Mathematics and Computer, Wuhan Textile University, Wuhan 430073, China

autor

Qingjin Cheng

• School of Mathematical Sciences, Xiamen University, Xiamen 361005, China

Identyfikatory

DOI

10.4064/sm219-3-1