RT Journal Article
T1 On local convexity of bounded weak topologies on banach-spaces
A1 Gómez Gil, Javier
AB This paper is devoted to the question "Under what conditions on a Banach space E is it true that the bounded weak topology is locally convex?". The theorem of Banach and Dieudonné shows that reflexivity is a sufficient condition. The author proves that reflexivity is also a necessary condition
PB Pacific Journal of Mathematics
SN 0030-8730
YR 1984
FD 1984
LK https://hdl.handle.net/20.500.14352/64652
UL https://hdl.handle.net/20.500.14352/64652
LA eng
NO H. S. Collins, Completeness and compactness in linear topological spaces, Trans. Amer. Math. Soc, 79 (1955), 256-280. M. M. Day, Normed Linear Spaces, Berlin 1962.  J. Ferrera, Espacios de funciones debilmente continuas sobre espacios de Banach, Tesis Doctoral, Universidad Complutense, Madrid (1980).J. Horvath, Topological Vector Spaces and Distributions, Addison-Wesley, Reading, Massachusetts, 1959.H. P. Rosenthal, Some recent discoveries in the isomorphic theory of Banach Spaces, Bull. H. H. Schaefer, Topological Vector Spaces, Springer-Verlag, Berlin and New York, 1971. R. F. Wheeler, The equicontinuous weak* topology and semi-reflexivity, Studia Mathematica, XLI (1972), 243-256.
DS Docta Complutense
RD 8 dic 2023