Lebesgue Integral In Abelian Omega Group

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.

• | Author: Aleks Kleyn
• | Publisher: CreateSpace Independent Publishing Platform
• | Publication Date: Dec 19, 2016
• | Number of Pages: 94 pages
• | Language: English
• | Binding: Paperback
• | ISBN-10: 1541099168
• | ISBN-13: 9781541099166