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Title: Sequential completeness of LF-spaces (English)
Author: Kučera, Jan
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 51
Issue: 1
Year: 2001
Pages: 181-183
Summary lang: English
Category: math
Summary: Any LF-space is sequentially complete iff it is regular. (English)
Keyword: LB- and LF-space
Keyword: regularity and sequential completeness of locally convex inductive limits
MSC: 46A13
MSC: 46A30
idZBL: Zbl 1079.46502
idMR: MR1814643
Date available: 2009-09-24T10:41:11Z
Last updated: 2020-07-03
Stable URL:
Reference: [1] K. Floret: Lokalkonvexe Sequenzen mit kompakten Abbildungen.J. Reine Angew. Math. 247 (1971), 155–195. Zbl 0209.43001, MR 0287271
Reference: [2] J. Kučera and K. McKennon: Quasi-incomplete regular LB-space.Internat. J. Math. 16 (1993), 675–678. MR 1234812, 10.1155/S0161171293000845
Reference: [3] B. M. Makarov: Pathological properties of inductive limits of Banach spaces.Uspekhi Mat. Nauk 18 (1963), 171–178. MR 0152867
Reference: [4] J. Mujica: Functional analysis, holomorphy and approximation theory II.North Holland, 1984. MR 0771334
Reference: [5] M. de Wilde: Closed graph theorems and webbed spaces.Pitman, London, 1978. Zbl 0373.46007


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