Generating real maps on a biordered set
Martinón, Antonio
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991), p. 265-272 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1991-01-01
Classification:  06A06,  06A10,  47A30,  47A53 
@article{116964,
     author = {Antonio Martin\'on},
     title = {Generating real maps on a biordered set},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {32},
     year = {1991},
     pages = {265-272},
     zbl = {0757.47013},
     mrnumber = {1137787},
     language = {en},
     url = {http://dml.mathdoc.fr/item/116964}
}

Martinón, Antonio. Generating real maps on a biordered set. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) pp. 265-272. http://gdmltest.u-ga.fr/item/116964/

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