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

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.[PUBLICA...

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Veröffentlicht in:Acta mathematica Sinica. English series 2003-01, Vol.19 (1), p.201-208
Hauptverfasser: Guo, Tie Xin, Zhu, Lin Hu
Format: Artikel
Sprache:eng
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Zusammenfassung: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.[PUBLICATION ABSTRACT]
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-002-0210-x