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- W2007222608 abstract "Mathematische NachrichtenVolume 122, Issue 1 p. 187-195 Article On the Convergence Vector Space Σe(E, F) and its Associated Locally Convex Topology Mikael Lindström, Mikael Lindström Åbo Akademi Department of Mathematics SF -20500 Åbo 50 FinlandSearch for more papers by this author Mikael Lindström, Mikael Lindström Åbo Akademi Department of Mathematics SF -20500 Åbo 50 FinlandSearch for more papers by this author First published: 1985 https://doi.org/10.1002/mana.19851220119Citations: 2AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat References 1 R. Beattie, On the convergence vector space Lc(E, F) and its dual space, Canad. Math. Bull. 21 (1978) 279–284 2 S. Bjon, Eine ausgeglichene Limitierung auf Räumen n-linearer Abbildungen zwischen Limesvektorräumen, Soc. Sci. Fenn. Comment. Phys. Math. 43 (1973) 189–201 3 S. Bjon, Die projective, absolutkonvexe Tensorproduktlimitierung Ann. Acad Sci. Fenn. Ser. A I 593 (1975) 4 S. Bjon, Einbettbarkeit in den Bidualraum und Darstellbarkeit als projektiver Limes in Kategorien von Limesvektorräumen, Math. Nachr. 93 (1979) 103–116 5 K. Brauner, Duals of Fréchet spaces and a generalization of the Banach-Dieudonné theorem, Duke Math. J. 40 (1973) 845–855 6 C. H. Cook and H. R. Fischer, On equicontinuity and continuous convergence, Math. Ann. 159, (1965) 94–104 7 K. Floret, Lokalkonvexe Sequenzen mit kompakten Abbildungen, J. reine angew. Math. 259 (1973) 65–85 8 K. Floret, Some aspects of the theory of locally convex inductive limits, Functional Analysis, Surveys and Recent Results, II, Ed. K-D. Bierstedt and B. Fuchssteiner, North-Holland Math. Studies. 38 (1980) 205–237 9 W. Gähler, Grundstrukturen der Analysis II. Birkhäuser Verlag 1978 10 H. Hogbe-Nlend, Théorie des bornologies et applications, Lecture Notes in Mathematics 213, Springer Verlag. Berlin — Heidelberg — New York 1971 11 R. Hollstein, ε-Tensorprodukte von Homomorphismen, Habilitationsschrift, Paderborn 1978 12 H. Jarchow, Locally Convex Spaces, Teubner 1981 13 H. H. Keller, Differential Calculus in Locally Convex Spacesa, Lecture Notes in Math. 417, Springer Verlag, Berlin — Heidelberg — New York 1974 14 M. Lindström, On Schwartz convergence vector spaces, Math. Nachr. 117 (1984) 37–49 15 M. Lindström, Completion of Schwartz convergence vector spaces, Math. Nachr. 122 (1985) 119–125 16 B. Müller, Über den c-dual eines Limesvektorraumes, Diss., Univ. Mannheim 1972 17 B. Müller, Lc- und c-einbettbare Limesräume, Ann. Scuola Normale Sup., Pisa, Cl. Sci., IV Ser. 5 (1978) 509–526 18 B. Müller, Convergence tensor products and a strict topology, Bull. Austral. Math. Soc. Vol. 21 (1980) 281–301 19 W. Ruess, Compactness and Collective Compactness in Spaces of Compact Operators, F. Math. Anal. Appl. Vol. 84, No. 2 (1981) 400–417 Citing Literature Volume122, Issue11985Pages 187-195 ReferencesRelatedInformation" @default.
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