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Displaying 1141 –
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On se propose d’établir le Théor`eme de Bartle-Graves dans la catégorie des
quotients bornologiques. Aussi, cela nous permet de définir certains espaces de fonctions `a
valeurs dans des quotients bornologiques.
We prove a Weierstrass division formula for Whitney jets ∂̅-flat on arbitrary compact subsets of the complex plane. We also give results for Carleman classes.
Dans quelle mesure une algèbre uniforme est-elle déterminée par l’espace vectoriel des parties réelles de ses éléments ? On s’intéresse à ce problème pour des algèbres définies sur des sous-ensembles compacts du plan complexe de connectivité finie.
On étudie les convexes compacts , tels que pour toute partie de , l’ensemble des fonctions affines continues sur , comprises entre 0 et 1, et nulles sur , ait un plus grand élément. On caractérise ces convexes compacts comme ceux dont des quotients affines convenables sont des chapeaux universels de cônes à base compacte. On a une “complémentation naturelle” sur le treillis des faces exposés de , et des liens remarquables entre ce treillis et l’espace des fonctions affines continues sur .
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