# Article

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Keywords:
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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