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
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description 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]
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source Alma/SFX Local Collection; SpringerLink Journals - AutoHoldings
subjects Algebra
Banach spaces
Homomorphisms
Modules
Studies
Theorems
title A Characterization of Continuous Module Homomorphisms on Random Semi-Normed Modules and Its Applications
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