Lebesgue Integral in Abelian Omega Group

ISBN-13: 9781541099166 / Angielski / Miękka / 2016 / 96 str.

Aleks Kleyn

Opis

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.