Boundedly completed subspaces in locally convex spaces.
Bella Tsirulnikov (1981)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Bella Tsirulnikov (1981)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Bella Tsirulnikov (1981)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Ferrando, Juan Carlos, Mas, Jose (1990)
Portugaliae mathematica
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Gilsdorf, Thomas E. (1991)
International Journal of Mathematics and Mathematical Sciences
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S. Radenović (1984)
Matematički Vesnik
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Stojan Radenović (1986)
Publications de l'Institut Mathématique
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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...
Manuel Valdivia (1972)
Annales de l'institut Fourier
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The three following examples are given: a bornological space containing a subspace of infinite countable codimension which is not quasi-barrelled, a quasi-barrelled -space containing a subspace of infinite countable codimension which is not -space, and bornological barrelled space which is not inductive limit of Baire space.
Iyahen, S.O. (1989)
Portugaliae mathematica
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