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The transformation function Φ and the condition needed for KUR space having the fixed point

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Abstract

In the last several years some progress has been made in the study of the properties of the extent of Banach space: In 1979 for example, when Suillivan discussed a related characterization of real Lp (X) space, he used uniform behavior of all two-dimensional subspace and defined this concept of a KUR space. In 1980 Huff used the concept of a NUC space when he discussed the property of generalizing uniform convexity which was defined in terms of sequence. And in 1980 Yu Xin-tai stated certainly and proved that the KUR space is equal to the NUC space[1].

However, the following quite interesting questions raised respectively by Suillivan and Huff merit attention: Does every super-reflexive space have the fixed point property?[2]

The purpose of this paper is to study the characterization of transformation function[4] and relationships between transformation function and the two questions above.

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References

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Authors and Affiliations

  1. Zheng Zhou Aluminum Plant, Zhengzhou

    Gu An-hai

Authors
  1. Gu An-hai
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Communicated by Chien Wei-zang

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An-hai, G. The transformation function Φ and the condition needed for KUR space having the fixed point. Appl Math Mech 7, 293–297 (1986). https://doi.org/10.1007/BF01900710

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  • DOI: https://doi.org/10.1007/BF01900710

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