Gu An-hai. The Transformation Function Φ and the Condition Needed for KUR Space Having the Fixed Point[J]. Applied Mathematics and Mechanics, 1986, 7(3): 273-277.
Citation: Gu An-hai. The Transformation Function Φ and the Condition Needed for KUR Space Having the Fixed Point[J]. Applied Mathematics and Mechanics, 1986, 7(3): 273-277.

The Transformation Function Φ and the Condition Needed for KUR Space Having the Fixed Point

  • Received Date: 1984-10-05
  • Publish Date: 1986-03-15
  • In the last several years some progress has been made in the study of the properties of the extent of Banaeh space: In 1979, for example, when SuiIIivan 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 an NUC space when he discussed the property of generalizing uniform convexity which was defined in terms of sequence; And in 1984 Yu Xin-tai(俞鑫泰)stated certainly and proved that the RKU space is equal to the NUC space[1]. However, the following quite interesting questions raised by Suillivan and Huff merit attention; Does every super-reflexive space have the fixed point propertyyand what conditions are needed for an LP(x) space to be NUC space[3]? respectively. The purpose of this paper is to study the characterization of transformation functionary and relationships between transformation function [4] and the two questions above.
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  • [1]
    俞鑫泰,科学通报,24 (1982), 1473-1475.
    [2]
    Suilli}an, F, Can,J.Math,31,3 (1979),628-636.
    [3]
    Huff, R,Rocky Motain, J.Math,10. 4 (1980),743-479.
    [4]
    谷安海,东北工学院学报,3 (1983),15-20.
    [5]
    Schechter, M,Principles of functional Analysis,-Academic Press, New York and London, p4-57,208-209.
    [6]
    James, R, C, Isral, I, Math,2 (1964),101-119.
    [7]
    谷安海,力学与实践,2 (1984),27-31.
    [8]
    Harlshore, R,Algebraic Geometry, Spring-Verlag, New York-Heidelberg-Berlin(1977), 1-2.
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