Full paper in PDF:
$% J. M. Isidro, Quasinormability of some spaces of holomorphic mappings, Rev. Mat. Univ. Complut. Madrid 3 (1990), no. 1, 13–17.%$

Quasinormability of Some Spaces of Holomorphic Mappings

José M. ISIDRO
Departamento de Análisis Matemático
Facultad de Ciencias Matemáticas
15796 Santiago de Compostela — Spain

Received: October 13, 1988
 Accepted: June 21, 1989
ABSTRACT

A class of locally convex vector spaces with a special Schauder decomposition is considered. It is proved that the elements of this class, which includes some spaces naturally appearing in infinite dimensional holomorphy, are quasinormable though in general they are neither metrizable nor Schwartz spaces.

1980 Mathematics Subject Classification (1985 revision): 46G20.