Original scientific paper

On a characterization of polynomially barrelled spaces

Miguel Caldas Cueva
Dinamerico P. Pombo Jr.

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.

Keywords

Locally convex spaces; continuous m-homogeneous polynomials; topology of pointwise convergence; equicontinuous sets; closed graph theorem

Hrčak ID:

8174

URI

https://hrcak.srce.hr/8174

Publication date:

1.6.1998.

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