References
S. F. Bellenot andE. Dubinsky, Fréchet spaces with nuclear Köthe quotients. Trans. Amer. Math. Soc.273, 579–594 (1982).
J.Diestel, Geometry of Banach Spaces-Selected Topics. LNM485, Berlin-Heidelberg-New York 1975.
V. Eberhardt, Beispiele topologischer Vektorräume mit der Komplementärraumeigenschaft. Arch. Math.26, 627–636 (1975).
A. Grothendieck, Sur les espaces (F) et (DF). Summa Brasil. Math.3, 57–123 (1954).
J.Horváth, Topological Vector Spaces and Distributions. Reading 1966.
G.Köthe, Topological vector spaces I. Berlin-Heidelberg-New York 1969.
V. B. Moscatelli, Fréchet spaces without continuous norms and without bases. Bull. London Math. Soc.12, 63–66 (1980).
R. R. Phelps, Subreflexive normed linear spaces. Arch. Math.8, 444–450 (1957).
W. Slowikowski andW. Zawadowski, Note on relatively completeB 0-spaces. Studia Math.15, 267–272 (1956).
D. N. Zarnadze, On certain locally convex spaces of continuous functions and Radon measures. Tr. Vychisl. Tsentr. Akad. Nauk Gruz. SSR19, 1, 29–40 (1979).
D. N. Zarnadze, Reflexivity and best approximation in Fréchet spaces. Izvestija Akad. Nauk SSR44, 821–830 (1980).
D. N. Zarnadze, Strictly regular Fréchet spaces. Math. Notes31 (6), 454–458 (1982).
D. N.Zarnadze, Reflexivity and the supremum of linear continuous functional in Fréchet spaces. To appear in Funkts. Analiz i Prilozh.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dierolf, S., Zarnadze, D.N. A note on strictly regular Fréchet spaces. Arch. Math 42, 549–556 (1984). https://doi.org/10.1007/BF01194053
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01194053