Morris Sidney A. (EN) — Pontryagin Duality and the Structure of Locally Compact Abelian Groups

Pontryagin Duality and the Structure of Locally Compact Abelian Groups краткое содержание

Pontryagin Duality and the Structure of Locally Compact Abelian Groups - описание и краткое содержание, автор Morris Sidney A. (EN), читать бесплатно онлайн на сайте электронной библиотеки Lib-King.Ru.

These lecture notes begin with an introduction to topological groups and proceed to a proof of the important Pontryagin-van Kampen duality theorem and a detailed exposition of the structure of locally compact abelian groups. Measure theory and Banach algebra are entirely avoided and only a small amount of group theory and topology is required, dealing with the subject in an elementary fashion. With about a hundred exercises for the student, it is a suitable text for first-year graduate courses.