This is a preview of subscription content, log in via an institution to check access.
References
Collins, H. S.: Completeness and compactness in linear topological spaces. Trans. Amer. Math. Soc.79, 256–280 (1955).
Grothendieck, A.: Sur certains espaces de fonctions holomorphes. J. Reine Angewandte Math.192, 35–64, 77–96 (1953).
—— Sur les espaces (F) et (DF). Summa Brasil. Math.3, 57–123 (1954).
Husain, T.: Locally convex spaces with theB(ℑ)-property. Math. Ann.146, 413–422 (1962).
——B(ℑ)-spaces and the closed graph theorem. Math. Ann.153, 293–298 (1964).
—— On completion and completeness ofB(C)-spaces. Math. Ann.154, 73–76 (1964).
Jones, W. B.: Duality and types of completeness in locally convex spaces. Pacific J. Math.18, 525–544 (1966).
—— Direct products of normed linear spaces. Canad. J. Math.19, 769–773 (1967).
Komura, Y.: On linear topological spaces. Kumamoto J. Sci. Ser. A5, 148–157 (1962).
—— Some examples on linear topological spaces. Math. Ann.153, 150–162 (1964).
Köthe, G.: Topologische Lineare Räume I. 1st ed. Berlin-Göttingen-Heidelberg: Springer 1960.
Mergelyan, S. N.: Uniform approximations to functions of a complex variable. Amer. Math. Soc. Transl. 101 (1954).
Pták, V.: Completeness and the open mapping theorem. Bull. Soc. Math. France86, 41–74 (1958).
Schaefer, H. H.: Topological vector spaces. Macmillan, New York (1966).
Warner, S., and A. Blair: On symmetry in convex topological vector spaces. Proc. Amer. Math. Soc.6, 301–304 (1955).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Jones, W.B. A locally convex topology for spaces of holomorphic functions. Math. Ann. 177, 143–155 (1968). https://doi.org/10.1007/BF01350790
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01350790