This is a preview of subscription content, log in via an institution to check access.
References
R. C. Buck, Bounded continuous functions on a locally compact space. Michigan Math. J.5, 95–104 (1958).
J. R. Dorroh, The localization of the strict topology via bounded sets. Proc. Amer. Math. Soc.20, 413–414 (1969).
R. Hollstein, Permanence properties ofC(X;E). Manuscripta Math.38, 41–58 (1982).
K. Noureddine, Note sur les espacesD b. Math. Ann.219, 97–103 (1976).
W. Roelke, On the finest locally convex topology agreeing with a given topology on a sequence of absolutely convex sets. Math. Ann.198, 57–80 (1972).
W. Ruess, [Weakly] compact operators and DF spaces. Pacific J. Math.98, 419–441 (1982).
J.Schmets, Spaces of vector-valued continuous functions. LNM1003, Berlin-Heidelberg-New York 1983.
F. D. Sentilles, Bounded continuous functions on a completely regular space. Trans. Amer. Math. Soc.168, 311–336 (1972).
J. Zafarani, Locally convex topologies on spaces of vector-valued continuous functions. Bull. Soc. Roy. Sc. Liège55, 353–362 (1986).
Author information
Authors and Affiliations
Additional information
The authors are thankful to the referee for valuable comments and remarks.
Rights and permissions
About this article
Cite this article
Schmets, J., Zafarani, J. Strict topologies and (gDF)-spaces. Arch. Math 49, 227–231 (1987). https://doi.org/10.1007/BF01271662
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01271662