Banach空间中的kUKK性质

Abstract

Abstract:

A new geometric property of Banach space kUKK is given, It is proved that Banach space with this property has weak Banach-saks property, Banach space X is kNUC if and only if it is reflexive and has kUKK property. considering the important role of geometric constants in Banach space geometric properties, The definition of the new constant R₂(X) < k is given by the definition of kUKK and proved that when R₂(X)< k, the Banach space X has a weak fixed point property. Finally, the specific values are calculated in the Cesaro sequence space.

Key words: kUKK Property, Geometric Constant, Fixed Point Property, Banach Space

CLC Number:

O177

Liying Fan,Jingjing Song,Jianing Zhang. kUKK Property in Banach Spaces[J].Acta mathematica scientia,Series A, 2019, 39(4): 705-712.

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kUKK Property in Banach Spaces

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