Sequential completeness of inductive limits.
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Gómez, Claudia, Kučera, Jan (2000)
International Journal of Mathematics and Mathematical Sciences
Jan Kučera (2001)
Czechoslovak Mathematical Journal
Any LF-space is sequentially complete iff it is regular.
Claudia Gomez-Wulschner, Jan Kučera (2004)
Czechoslovak Mathematical Journal
A notion of an almost regular inductive limits is introduced. Every sequentially complete inductive limit of arbitrary locally convex spaces is almost regular.
Baltasar Rodríguez-Salinas (1980)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
Baltasar Rodríguez-Salinas (1980)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
Baltasar Rodríguez-Salinas (1981)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
José Orihuela (1985)
Collectanea Mathematica
Trinidad Casasus Estelles (1988)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
Pedro Pérez Carreras (1987)
Časopis pro pěstování matematiky
Josef Kolomý (1971)
Commentationes Mathematicae Universitatis Carolinae
Brian Rodrigues (1991)
Commentationes Mathematicae Universitatis Carolinae
In this note, we investigate non-locally-convex topological vector spaces for which the closed graph theorem holds. In doing so, we introduce new classes of topological vector spaces. Our study includes a direct extension of Pták duality to the non-locally-convex situation.
Jerzy Kąkol (1986)
Mathematica Slovaca
Zbigniew Piotrowski (1979)
Mathematica Slovaca
Bosch, Carlos, Gilsdorf, Thomas E. (1996)
International Journal of Mathematics and Mathematical Sciences
Wendy Robertson (1972)
Mémoires de la Société Mathématique de France
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