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Více o knize
The book delves into the theory of topological vector spaces, emphasizing locally convex spaces. It explores topologies in dual pairs and presents significant results such as the Mackey-Arens theorem. Key properties of weak topology on Banach spaces are examined, including Banach's theorem regarding weak*-closed subspaces, the Eberlein-Smulian theorem, Krein's insights on weakly compact sets, and the Dunford-Pettis theorem that defines weak compactness. This comprehensive approach offers valuable insights for advanced studies in functional analysis.
Nákup knihy
A Course on Topological Vector Spaces, Jürgen Voigt
- Jazyk
- Rok vydání
- 2020
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Doručení
Platební metody
Navrhnout úpravu
- Titul
- A Course on Topological Vector Spaces
- Jazyk
- anglicky
- Autoři
- Jürgen Voigt
- Vydavatel
- Springer International Publishing
- Rok vydání
- 2020
- Vazba
- měkká
- Počet stran
- 164
- ISBN13
- 9783030329440
- Kategorie
- Matematika
- Anotace
- The book delves into the theory of topological vector spaces, emphasizing locally convex spaces. It explores topologies in dual pairs and presents significant results such as the Mackey-Arens theorem. Key properties of weak topology on Banach spaces are examined, including Banach's theorem regarding weak*-closed subspaces, the Eberlein-Smulian theorem, Krein's insights on weakly compact sets, and the Dunford-Pettis theorem that defines weak compactness. This comprehensive approach offers valuable insights for advanced studies in functional analysis.