When is a -space?
Dorota Krassowska; Wiesƚaw Śliwa
Commentationes Mathematicae Universitatis Carolinae (1992)
- Volume: 33, Issue: 1, page 43-44
- ISSN: 0010-2628
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topKrassowska, Dorota, and Śliwa, Wiesƚaw. "When $(E,\sigma (E,E^{\prime }))$ is a $DF$-space?." Commentationes Mathematicae Universitatis Carolinae 33.1 (1992): 43-44. <http://eudml.org/doc/247403>.
@article{Krassowska1992,
abstract = {Let $(E,t)$ be a Hausdorff locally convex space. Either $(E,\sigma (E,E^\{\prime \}))$ or $(E^\{\prime \},\sigma (E^\{\prime \},E))$ is a $DF$-space iff $E$ is of finite dimension (THEOREM). This is the most general solution of the problem studied by Iyahen [2] and Radenovič [3].},
author = {Krassowska, Dorota, Śliwa, Wiesƚaw},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {$DF$-spaces; countably quasibarrelled spaces; -space},
language = {eng},
number = {1},
pages = {43-44},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {When $(E,\sigma (E,E^\{\prime \}))$ is a $DF$-space?},
url = {http://eudml.org/doc/247403},
volume = {33},
year = {1992},
}
TY - JOUR
AU - Krassowska, Dorota
AU - Śliwa, Wiesƚaw
TI - When $(E,\sigma (E,E^{\prime }))$ is a $DF$-space?
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 1
SP - 43
EP - 44
AB - Let $(E,t)$ be a Hausdorff locally convex space. Either $(E,\sigma (E,E^{\prime }))$ or $(E^{\prime },\sigma (E^{\prime },E))$ is a $DF$-space iff $E$ is of finite dimension (THEOREM). This is the most general solution of the problem studied by Iyahen [2] and Radenovič [3].
LA - eng
KW - $DF$-spaces; countably quasibarrelled spaces; -space
UR - http://eudml.org/doc/247403
ER -
References
top- Grothendieck A., Sur les espaces et , Summa Brasil Math. 3 (1954), 57-123. (1954) Zbl0058.09803MR0075542
- Iyahen O., Sunday, Some remarks on countably barrelled and countably quasibarrelled spaces, Proc. Edinburgh Math. Soc. 15 (1966), 295-296. (1966) MR0226357
- Radenovič S., Some remarks on the weak topology of locally convex spaces, Publ. de l'Institut Math. 44 (1988), 155-157. (1988) MR0995423
- Robertson A., Robertson W., Topological vector spaces, Cambridge Univ. Press, 1973. Zbl0423.46001MR0350361
- Schaefer H., Topological vector spaces, Springer-Verlag, New York-Heidelberg-Berlin, 1971. Zbl0983.46002MR0342978
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