ConvergenceLF spaces |
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| Authors: | R. Beattie H. -P. Butzmann |
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| Affiliation: | (1) Department of Mathematics and Computer Science, Mount Allison University, E0A 3C0 Sackville, N.B., Canada;(2) Fakultät für Mathematik und Informatik, Universität Mannheim, W-6800 Mannheim A5, Germany |
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| Abstract: | In this paper we examineLF spaces, inductive limits of Fréchet spaces, in two different settings: the categoryCV S of convergence vector spaces and the categoryLC S of locally convex topological vector spaces. Special attention is given to permanence properties and retractivity properties in each case. Some interaction between properties ofLF spaces inCV S and other properties inLC S are investigated.R. Beattie's research was supported by NSERC grant OGP0005316. |
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| Keywords: | 54E05 46A13 46M10 46A45 |
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