Articles liés à Lebesgue Integral in Abelian Omega Group

Lebesgue Integral in Abelian Omega Group - Couverture souple

Kleyn, Aleks

 
9781541099166: Lebesgue Integral in Abelian Omega Group

Synopsis

The common in ring, module and algebra is that they are Abelian group with respect to addition. This property is enough to study integration. I treat integral of measurable map into normed Abelian Omega-group. Theory of integration of maps into Omega-group has a lot of common with theory of integration of functions of real variable. However I had to change some statements, since they implicitly assume either compactness of range or total order in Omega-group.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The common in ring, module and algebra is that they are Abelian group with respect to addition. This property is enough to study integration. I treat integral of measurable map into normed Abelian Omega-group. Theory of integration of maps into Omega-group has a lot of common with theory of integration of functions of real variable. However I had to change some statements, since they implicitly assume either compactness of range or total order in Omega-group.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.