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On inductive limits of banach spaces

✍ Scribed by Manuel Valdivia

Publisher
Springer
Year
1975
Tongue
English
Weight
507 KB
Volume
15
Category
Article
ISSN
0025-2611

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πŸ“œ SIMILAR VOLUMES

Free topological groups on metrizable sp
Free topological groups on metrizable spaces and inductive limits
✍ Vladimir Pestov; Kohzo Yamada πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 107 KB

We prove that for a metrizable space X the following are equivalent: (i) the free Abelian topological group A(X) is the inductive limit of the sequence {A n (X): n ∈ N}, where A n (X) is formed by all words of reduced length n; (ii) X is locally compact and the set of all non-isolated points of X is