Some properties of short exact sequences of locally convex Riesz spaces
Stojan Radenović; Zoran Kadelburg
Commentationes Mathematicae Universitatis Carolinae (1998)
- Volume: 39, Issue: 1, page 81-89
- ISSN: 0010-2628
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topRadenović, Stojan, and Kadelburg, Zoran. "Some properties of short exact sequences of locally convex Riesz spaces." Commentationes Mathematicae Universitatis Carolinae 39.1 (1998): 81-89. <http://eudml.org/doc/248242>.
@article{Radenović1998,
abstract = {We investigate the stability of some properties of locally convex Riesz spaces in connection with subspaces and quotients and also the corresponding three-space-problems. We show that in the richer structure there are more positive answers than in the category of locally convex spaces.},
author = {Radenović, Stojan, Kadelburg, Zoran},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {locally convex Riesz space; short exact sequence; three-space-problem; locally convex Riesz space; short exact sequence; three-space-problem},
language = {eng},
number = {1},
pages = {81-89},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Some properties of short exact sequences of locally convex Riesz spaces},
url = {http://eudml.org/doc/248242},
volume = {39},
year = {1998},
}
TY - JOUR
AU - Radenović, Stojan
AU - Kadelburg, Zoran
TI - Some properties of short exact sequences of locally convex Riesz spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 1
SP - 81
EP - 89
AB - We investigate the stability of some properties of locally convex Riesz spaces in connection with subspaces and quotients and also the corresponding three-space-problems. We show that in the richer structure there are more positive answers than in the category of locally convex spaces.
LA - eng
KW - locally convex Riesz space; short exact sequence; three-space-problem; locally convex Riesz space; short exact sequence; three-space-problem
UR - http://eudml.org/doc/248242
ER -
References
top- Bonet J., Dierolf S., On the lifting of bounded sets in Fréchet spaces, Proc. Edinburgh Math. Soc. 36 (1993), 277-281. (1993) Zbl0792.46001MR1221048
- Bonet J., Dierolf S., Fernandez C., On the three-space-problem for distinguished Fréchet spaces, Bull. Soc. Roy. Sci. Liège 59 (1990), 301-306. (1990) Zbl0713.46001MR1070413
- Diaz J.C., Dierolf S., Domanski P., Fernandez C., On the three-space-problem for dual Fréchet spaces, Bull. Polish Acad. Sci. 40 (1992), 221-224. (1992) Zbl0783.46002MR1401875
- Dierolf S., On the three-space-problem and the lifting of bounded sets, Collect. Math. 44 (1993), 81-89. (1993) Zbl0803.46001MR1280727
- Graev M.I., Theory of topological groups, Uspekhi Mat. Nauk 5 (1950), 3-56. (1950) MR0036245
- Grothendieck A., Sur les espaces (F) et (DF), Summa Bras. Math. 3 (1954), 57-123. (1954) Zbl0058.09803MR0075542
- Husain T., Khaleelulla S.M., Barrelledness in Topological and Ordered Vector Spaces, Lecture Notes in Mathematics 692, Springer Berlin-Heidelberg-New York (1978). (1978) MR0520916
- Kawai I., Locally convex lattices, J. Math. Soc. Japan 9 (1957), 281-314. (1957) Zbl0079.32203MR0095399
- Köthe G., Topological Vector Spaces I, ed., Springer Berlin-Heidelberg-New York (1983). (1983) MR0248498
- Meise R., Vogt D., Einführung in Funktionalanalysis, Vieweg Wiesbaden (1992). (1992) MR1195130
- Peressini A.L., On topologies in ordered vector spaces, Math. Annalen 144 (1961), 199-223. (1961) Zbl0099.09103MR0138982
- Roelcke W., Dierolf S., On the three-space-problem for topological vector spaces, Collect. Math. 32 (1981), 13-35. (1981) Zbl0489.46002MR0643398
- Shaefer H.H., Topological Vector Spaces, Springer Berlin-Heidelberg-New York (1970). (1970)
- Wong Y-C., Ng K-F., Partially Ordered Topological Vector Spaces, Oxford Mathematical Monographs, Clarendon Press Oxford (1973). (1973) MR0454581
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