Locally convex inductive limits of normed algebras
Alberto Arosio (1974)
Rendiconti del Seminario Matematico della Università di Padova
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Alberto Arosio (1974)
Rendiconti del Seminario Matematico della Università di Padova
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Kitchen, J.W., Robbins, D.A. (1996)
International Journal of Mathematics and Mathematical Sciences
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Anastasios Mallios (1972)
Mémoires de la Société Mathématique de France
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Helmut Goldmann (1989)
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...
Wang, Derming, Watson, Saleem (1989)
International Journal of Mathematics and Mathematical Sciences
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Batildo Requejo (1994)
Extracta Mathematicae
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Stany De Smedt (1994)
Collectanea Mathematica
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Kyriazis, Athanasios (1995)
Portugaliae Mathematica
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Ouzomgi, S., Redlin, L., Watson, S. (1995)
International Journal of Mathematics and Mathematical Sciences
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