Geodesic
Generating real maps on a biordered set
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 2, pp. 265-272.

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Several authors have defined operational quantities derived from the norm of an operator between Banach spaces. This situation is generalized in this paper and we present a general framework in which we derivate several maps $X\rightarrow \Bbb R$ from an initial one $X\rightarrow \Bbb R$, where $X$ is a set endowed with two orders, $\leq $ and $\leq ^{\ast }$, related by certain conditions. We obtain only three different derivated maps, if the initial map is bounded and monotone.
Classification : 06A06, 06A10, 47A30, 47A53
Keywords: derivated map; biordered set; admissible order 
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     title = {Generating real maps on a biordered set},
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Martinon, Antonio. Generating real maps on a biordered set. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 2, pp. 265-272. http://geodesic.mathdoc.fr/item/CMUC_1991__32_2_a7/