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Characterization of normed linear spaces with generalized Mazur intersection property

Tom 219 / 2013

Yunbai Dong, Qingjin Cheng Studia Mathematica 219 (2013), 193-200 MSC: Primary 46B20; Secondary 46B10. DOI: 10.4064/sm219-3-1

Streszczenie

Let $\mathcal {A}$ 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 $A\in \mathcal {A}$ is an intersection of balls.

Autorzy

  • Yunbai DongSchool of Mathematics and Computer
    Wuhan Textile University
    Wuhan 430073, China
    e-mail
  • Qingjin ChengSchool of Mathematical Sciences
    Xiamen University
    Xiamen 361005, China
    e-mail

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