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J.V. Ramani, Anil K. Karn, Sunil Yadav ,EHA?J EEJ B =JHE?E=O 4EAI HA@ IF=?AI

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J.V. Ramani, Anil K. Karn, Sunil Yadav

Direct limit of matricially Riesz normed spaces

Comment.Math.Univ.Carolinae 47,1 (2006) 55-67.

Abstract: In this paper, theF-Riesz norm for orderedF-bimodules is introduced and characterized in terms of order theoretic and geometric concepts. Using this no- tion,F-Riesz normed bimodules are introduced and characterized as the inductive limits of matricially Riesz normed spaces.

Keywords: Riesz norm, matricially Riesz normed space, positively bounded, ab- solutelyF-convex,F-Riesz norm

AMS Subject Classification: Primary 46L07

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