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Renormings concerning exposed points and non-smoothness

Renormings concerning exposed points and non-smoothness
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摘要 Intuitively, non-smooth points might look like exposed points. However, in this paper we show that real Banach spaces having dimension greater than or equal to three can be equivalently renormed to obtain non-smooth points which are also non-exposed. Intuitively, non-smooth points might look like exposed points. However, in this paper we show that real Banach spaces having dimension greater than or equal to three can be equivalently renormed to obtain non-smooth points which are also non-exposed.
出处 《Science China Mathematics》 SCIE 2009年第9期1844-1848,共5页 中国科学:数学(英文版)
关键词 EXPOSED POINT SMOOTH POINT rotund POINT exposed point smooth point rotund point Primary 46B20, 46B03 Secondary 46B07
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  • 1Aizpuru A, Garcia-Pacheco F J. Some questions about rotundity and renormings in Banach spaces. J Aust Math Soc, 2005, 79:131-140.

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