Miguel Caldas Cueva

026. On a characterization of polynomially barrelled spaces

Math. Journal: Glasnik Matematicki , Croatia, 33 (1998), 93-96.
Authors: Caldas M. and  Pombo D.

Abstract
A locally convex space E is polynomially barrelled if and only if, for every positive integer m and for every Banach space F, the space of all continuous m-homogeneous polynomials from E into F is quasi-complete for the topology of pointwise convergence.