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A Characterization of Continuous Module Homomorphisms on Random Semi-Normed Modules and Its Applications

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Abstract

In this paper, a characterization of continuous module homomorphisms on random semi-normed modules is first given; then the characterization is further used to show that the Hahn-Banach type of extension theorem is still true for continuous module homomorphisms on random semi-normed modules.

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Authors and Affiliations

  1. Department of Mathematics, Xiamen University, Xiamen 361005, P. R. China

    Tie Xin Guo

  2. Division of Basics, Xi'an Air-Force Engineering Colloge, Xi'an 710038, P. R. China

    Lin Hu Zhu

Authors
  1. Tie Xin Guo
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  2. Lin Hu Zhu
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Corresponding author

Correspondence to Tie Xin Guo.

Additional information

The first author of this paper is supported in part by the Foundation for University Key Teachers of the Ministry of Education of China, the National Natural Science Foundation of China (No. 10071063) and the Natural Science Foundation of Fujian Province of China (F99027).

Erratum: GRANVILLE Andrew (Department of Mathematics, University of Geogia, Athens, GA30602, USA) is not an author of the following paper: On the Residues of Binomial Coefficients and Their Products Modulo Prime Powers, Acta Mathematica Sinica (English Series), 18(2), 277–288 (2002)

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Guo, T.X., Zhu, L.H. A Characterization of Continuous Module Homomorphisms on Random Semi-Normed Modules and Its Applications. Acta Math Sinica 19, 201–208 (2003). https://doi.org/10.1007/s10114-002-0210-x

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  • DOI: https://doi.org/10.1007/s10114-002-0210-x

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