Sequential completeness of LF-spaces

Jan Kučera

Czechoslovak Mathematical Journal (2001)

  • Volume: 51, Issue: 1, page 181-183
  • ISSN: 0011-4642

Abstract

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Any LF-space is sequentially complete iff it is regular.

How to cite

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Kučera, 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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  1. Lokalkonvexe Sequenzen mit kompakten Abbildungen, J. Reine Angew. Math. 247 (1971), 155–195. (1971) Zbl0209.43001MR0287271
  2. 10.1155/S0161171293000845, Internat. J. Math. 16 (1993), 675–678. (1993) MR1234812DOI10.1155/S0161171293000845
  3. Pathological properties of inductive limits of Banach spaces, Uspekhi Mat. Nauk 18 (1963), 171–178. (1963) MR0152867
  4. Functional analysis, holomorphy and approximation theory II, North Holland, 1984. (1984) MR0771334
  5. Closed graph theorems and webbed spaces, Pitman, London, 1978. (1978) Zbl0373.46007

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