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AM-Totally Boundedness on Normed Riesz Spaces |
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| Authors: | Baklouti H. Hajji M. Moulahi R. |
| Affiliation: | 1.University of Sfax, 3000, Sfax, Tunisia ;2.University of Kairouan, 3100, Kairouan, Tunisia ; |
| Abstract: | In this paper we introduce and study the class of AM-totally bounded operators. Also we introduce the notion of graph lattice norm to prove a domination result for this class of operators. In particular, we extend the main theorem of Aqzzouz et al. [8]. Further, we give new results concerning the power domination problem by a totally bounded operator. |
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