A Property of Locally Convex Baire Spaces.
Aaron R. Todd, Stephen A. Saxon (1973)
Mathematische Annalen
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Aaron R. Todd, Stephen A. Saxon (1973)
Mathematische Annalen
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Stephen A. Saxon, P. P. Narayanaswami (1986)
Mathematische Annalen
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Thomas E. Gilsdorf (1991)
Collectanea Mathematica
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A well-known result for bounded sets in inductive limits of locally convex spaces is the following: If each of the constituent spaces En are Fréchet spaces and E is the inductive limit of the spaces En, then each bounded subset of E is bounded in some En iff E is locally complete. Using DeWilde's localization theorem, we show here that the completeness of each En and the local completeness of E may be replaced with the conditions that the spaces En are all webbed K-spaces and E is locally...
Alexia B. Latimer, William H. Ruckle (1974)
Mathematische Annalen
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Kamil John (1990)
Mathematische Annalen
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J.R. HOLUB (1971)
Mathematische Annalen
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A.K. Katsaras (1975)
Mathematische Annalen
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Jerzy Kakol (2000)
Revista Matemática Complutense
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We characterize Baire-like spaces C(X,E) of continuous functions defined on a locally compact and Hewitt space X into a locally convex space E endowed with the compact-open topology.
Nicole de Grande-de Kimpe (1981-1982)
Groupe de travail d'analyse ultramétrique
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Joel S. Cohen (1973)
Mathematische Annalen
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W. Roelcke (1972)
Mathematische Annalen
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Erhard Behrends, Susanne Dierolf, Peter Harmand (1986)
Mathematische Annalen
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