## Antonio Martinon

*Generating real maps on a biordered set *

Comment.Math.Univ.Carolinae 32,2 (1991) 265-272. **Abstract:**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.

**Keywords:** derivated map, biordered set, admissible order

**AMS Subject Classification:** 06A10, 47A53

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