Pontryagin duality and the structure of locally compact abelian groups:

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 amo...

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Beteilige Person: Morris, Sidney A. 1947-
Format: E-Book
Sprache:Englisch
Veröffentlicht: Cambridge Cambridge University Press 1977
Schriftenreihe:London Mathematical Society lecture note series 29
Links:https://doi.org/10.1017/CBO9780511600722
Zusammenfassung: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.
Umfang:1 Online-Ressource (viii, 128 Seiten)
ISBN:9780511600722