French translation for "bounded set"

partie bornée

Example Sentences:

	1.	The polar of a bounded set is an absolutely convex and absorbing set. L'ensemble polaire d'une partie bornée est absolument convexe (en) et absorbant.
	2.	The continued fractions on the right hand side will converge uniformly on any closed and bounded set that contains no poles of this function. Les fractions continues obtenues convergent uniformément sur tout fermé borné du plan complexe ne contenant aucun des pôles de cette fonction.
	3.	Another of his theorems states that in a Banach space with the Radon–Nikodym property, a closed and bounded set has an extreme point; compactness is not needed. Un autre de ses théorèmes établit que dans un espace de Banach possédant la propriété de Radon-Nikodym, tout fermé borné a un point extrémal, sans hypothèse de compacité.

Similar Words：

"bounded circle" French translation, "bounded function" French translation, "bounded mean oscillation" French translation, "bounded operator" French translation, "bounded rationality" French translation, "bounded set (topological vector space)" French translation, "bounded variation" French translation, "bounded weak echo region" French translation, "boundedness (linguistics)" French translation