Geodesic
Direct limit of matricially Riesz normed spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 1, pp. 175-187

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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.
Classification : 46B28, 46H25, 46L07
Keywords: Riesz norm; matricially Riesz normed space; positively bounded; absolutely $\Cal F$-convex; $\Cal F$-Riesz norm 
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Ramani, J. V.; Karn, Anil K.; Yadav, Sunil. Direct limit of matricially Riesz normed spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 1, pp. 175-187. http://geodesic.mathdoc.fr/item/CMUC_2006__47_1_a5/