We examine the so-called three-space-stability for some classes of linear topological and locally convex spaces for which this problem has not been investigated.
@article{118857, author = {Zoran Kadelburg and Stojan Radenovi\'c}, title = {Three-space-problem for some classes of linear topological spaces}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {37}, year = {1996}, pages = {507-514}, zbl = {0881.46002}, mrnumber = {1426915}, language = {en}, url = {http://dml.mathdoc.fr/item/118857} }
Kadelburg, Zoran; Radenović, Stojan. Three-space-problem for some classes of linear topological spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) pp. 507-514. http://gdmltest.u-ga.fr/item/118857/
Lokaltopologische Vektorräume, Collect. Math. 25 (1974), 255-274. (1974) | MR 0427994 | Zbl 0305.46006
On nonstandard hulls of convex spaces, Can. J. Math. 28 (1976), 141-147. (1976) | MR 0407556 | Zbl 0308.46001
Induktivno refleksivnye lokal'no vypuklye prostranstva, Soviet Math. {Dokl.} 9 (1968), 1080-1082. (1968)
On distinguished Fréchet spaces, Progress in Functional Analysis, K.D. Bierstedt, J. Bonet, J. Horváth, M. Maestre (eds.) Elsevier Publ. (1992), 201-214. (1992) | MR 1150747 | Zbl 0785.46003
On the three-space-problem for distinguished Fréchet spaces, Bull. Soc. Roy. Sci. Liége 59 (1990), 301-306. (1990) | MR 1070413 | Zbl 0713.46001
Duals of Fréchet spaces and a generalization of the Banach-Dieudonné theorem, Duke Math. J. 40 (1973), 845-856. (1973) | MR 0330988 | Zbl 0274.46003
Espaces ultrabornologiques et b-reflexivite, Publ. Dép. Mat. Lyon 8 (1971), 91-106. (1971) | MR 0320684 | Zbl 0252.46010
A note on the lifting of linear and locally convex topologies on a quotient space, Collect. Math. 31 (1980), 193-198. (1980) | MR 0621724 | Zbl 0453.46002
On the three-space-problem and the lifting of bounded sets, Collect. Math. 44 (1993), 81-89. (1993) | MR 1280727 | Zbl 0803.46001
Sur les espaces (F) et (DF), Summa Bras. Math. 3 (1954), 57-123. (1954) | MR 0075542 | Zbl 0058.09803
Ultrapowers of locally convex spaces and applications I, Math. Nachr. 118 (1984), 285-315. (1984) | MR 0773627 | Zbl 0576.46002
The nonstandard theory of topological vector spaces, Trans. Amer. Math. Soc. 172 (1972), 405-435. (1972) | MR 0308722
Invariance of the nonstandard hulls of locally convex spaces, Duke Math. J. 40 (1973), 193-205. (1973) | MR 0372568 | Zbl 0256.46001
Ultra-b-barrelled spaces and the completeness of $\Cal L_b(E,F)$, Mat. Vesnik 3 (16) (31) (1979), 23-30. (1979) | MR 0589477
On ultrapowers of linear topological spaces without convexity conditions, Publ. Inst. Math. (N.S) 47(61) (1990), 71-81. (1990) | MR 1103531
Topological Vector Spaces I, $2^{nd}$ ed., Springer Berlin-Heidelberg-New York (1983). (1983) | MR 0248498
Einführung in Funktionalanalysis, Vieweg Wiesbaden (1992). (1992) | MR 1195130
Nouvelles classes d'espaces localment convexes, Publ. Dép. Mat. Lyon 10 (1973), 105-122. (1973) | MR 0367605
On the three-space-problem for topological vector spaces, Collect. Math. 32 (1981), 13-35. (1981) | MR 0643398 | Zbl 0489.46002
Topological Vector Spaces, Springer Berlin-Heidelberg-New York (1970). (1970)