Some aspects of the theory of barreled spaces
Pedro Pérez Carreras (1987)
Časopis pro pěstování matematiky
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Pedro Pérez Carreras (1987)
Časopis pro pěstování matematiky
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Bosch, Carlos, Kučera, Jan, McKennon, Kelly (1986)
International Journal of Mathematics and Mathematical Sciences
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Surjit Singh Khurana, Sadoon Ibrahim Othman (1995)
Mathematica Slovaca
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Stephen Saxon, P. Narayanaswami (1989)
Studia Mathematica
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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...