Best approximation by closed unit balls

Subject Areas : Applied Mathematics

H. R. Kamali ¹ , H. Mazaheri ² , H. R. Khadezadeh ³ , H. Ardakani ⁴

1 - Department of Mathematics,Ardakan Branch,Islamic Azad university,Ardakan,Iran.
2 - Faculty of Mathematics, Yazd University, Yazd, Iran.
3 - Faculty of Mathematics, Yazd University, Yazd, Iran.
4 - Faculty of Mathematics, Yazd University, Yazd, Iran.

Received: 2015-09-13 Accepted : 2015-09-13 Published : 2014-05-01

Keywords: Best approximation, Orthogonality, Closed unit balls, Kadec-Klee property, Shur property,

Abstract :

We obtain a sucint and nesessery theoreoms simple for compactness andweakly compactness of the best approximate sets by closed unit balls. Also weconsider relations Kadec-Klee property and shur property with this objects.These theorems are extend of papers mohebi and Narayana.

References:

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