Sequentially complete inductive limits and regularity
Claudia Gomez-Wulschner; Jan Kučera
Czechoslovak Mathematical Journal (2004)
- Volume: 54, Issue: 3, page 697-699
- ISSN: 0011-4642
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topGomez-Wulschner, Claudia, and Kučera, Jan. "Sequentially complete inductive limits and regularity." Czechoslovak Mathematical Journal 54.3 (2004): 697-699. <http://eudml.org/doc/30892>.
@article{Gomez2004,
abstract = {A notion of an almost regular inductive limits is introduced. Every sequentially complete inductive limit of arbitrary locally convex spaces is almost regular.},
author = {Gomez-Wulschner, Claudia, Kučera, Jan},
journal = {Czechoslovak Mathematical Journal},
keywords = {sequential completeness; regular; resp. almost regular; inductive limit of locally convex spaces; sequential completeness; regular; almost regular; inductive limit of locally convex spaces},
language = {eng},
number = {3},
pages = {697-699},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Sequentially complete inductive limits and regularity},
url = {http://eudml.org/doc/30892},
volume = {54},
year = {2004},
}
TY - JOUR
AU - Gomez-Wulschner, Claudia
AU - Kučera, Jan
TI - Sequentially complete inductive limits and regularity
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 3
SP - 697
EP - 699
AB - A notion of an almost regular inductive limits is introduced. Every sequentially complete inductive limit of arbitrary locally convex spaces is almost regular.
LA - eng
KW - sequential completeness; regular; resp. almost regular; inductive limit of locally convex spaces; sequential completeness; regular; almost regular; inductive limit of locally convex spaces
UR - http://eudml.org/doc/30892
ER -
References
top- Topological Vector Spaces and Distributions, Addison-Wesley, 1966 ZBL 0143.15101. (1966 ZBL 0143.15101) MR0205028
- On pathological properties of inductive limits of Banach Spaces, Usp. Mat. Nauk 18, 3 (1963), 171–178. (Russian) (1963) MR0152867
- Closed Graph Theorems and Webbed Spaces, Pitman, London, 1978 ZBL 0373.46007. (1978 ZBL 0373.46007)
- 10.1023/A:1013722325291, Czechoslovak Math. J. 51(126) (2001), 181–183. (2001) MR1814643DOI10.1023/A:1013722325291
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