Barreledness of subspaces of countable codimension and the closed graph theorem
D. Van Dulst (1972)
Compositio Mathematica
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D. Van Dulst (1972)
Compositio Mathematica
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A. V. Ferreira, G. Tomassini (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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John Daly (1971)
Studia Mathematica
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Alberto Arosio (1974)
Rendiconti del Seminario Matematico della Università di Padova
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W. Zawadowski (1968)
Studia Mathematica
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A. Kokk, W. Żelazko (1995)
Studia Mathematica
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Let X be a real or complex vector space. We show that the maximal p-convex topology makes X a complete Hausdorff topological vector space. If X has an uncountable dimension, then different p give different topologies. However, if the dimension of X is at most countable, then all these topologies coincide. This leads to an example of a complete locally pseudoconvex space X that is not locally convex, but all of whose separable subspaces are locally convex. We apply these results to topological...
E. Steiner, A. Steiner (1967)
Fundamenta Mathematicae
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Queiroz, Maria Lúcia B. de (1987)
Portugaliae mathematica
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J. Nienhuys (1972)
Fundamenta Mathematicae
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