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Keywords:
Riesz norm; matricially Riesz normed space; positively bounded; absolutely $\Cal F$-convex; $\Cal F$-Riesz norm
Riesz norm; matricially Riesz normed space; positively bounded; absolutely $\Cal F$-convex; $\Cal F$-Riesz norm
Summary:
In this paper, the $\Cal F$-Riesz norm for ordered $\Cal F$-bimodules is introduced and characterized in terms of order theoretic and geometric concepts. Using this notion, $\Cal F$-Riesz normed bimodules are introduced and characterized as the inductive limits of matricially Riesz normed spaces.
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