Sequential completeness of LF-spaces
Czechoslovak Mathematical Journal (2001)
- Volume: 51, Issue: 1, page 181-183
- ISSN: 0011-4642
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topKučera, Jan. "Sequential completeness of LF-spaces." Czechoslovak Mathematical Journal 51.1 (2001): 181-183. <http://eudml.org/doc/30625>.
@article{Kučera2001,
abstract = {Any LF-space is sequentially complete iff it is regular.},
author = {Kučera, Jan},
journal = {Czechoslovak Mathematical Journal},
keywords = {LB- and LF-space; regularity and sequential completeness of locally convex inductive limits; LB- and LF-space; regularity and sequential completeness of locally convex inductive limits},
language = {eng},
number = {1},
pages = {181-183},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Sequential completeness of LF-spaces},
url = {http://eudml.org/doc/30625},
volume = {51},
year = {2001},
}
TY - JOUR
AU - Kučera, Jan
TI - Sequential completeness of LF-spaces
JO - Czechoslovak Mathematical Journal
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 51
IS - 1
SP - 181
EP - 183
AB - Any LF-space is sequentially complete iff it is regular.
LA - eng
KW - LB- and LF-space; regularity and sequential completeness of locally convex inductive limits; LB- and LF-space; regularity and sequential completeness of locally convex inductive limits
UR - http://eudml.org/doc/30625
ER -
References
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- 10.1155/S0161171293000845, Internat. J. Math. 16 (1993), 675–678. (1993) MR1234812DOI10.1155/S0161171293000845
- Pathological properties of inductive limits of Banach spaces, Uspekhi Mat. Nauk 18 (1963), 171–178. (1963) MR0152867
- Functional analysis, holomorphy and approximation theory II, North Holland, 1984. (1984) MR0771334
- Closed graph theorems and webbed spaces, Pitman, London, 1978. (1978) Zbl0373.46007
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