Original scientific paper

A necessary and sufficient for a space to be infrabarelled or polynomially infrabarrelled

Miguel Caldas Cueva
Dinamerico P. Pombo Jr.

Abstract

A locally convex space E is infrabarrelled (resp. polynomially infrabarrelled) if and only if, for every Banach space F (resp. for every positive integer m and for every Banach space F), the space of all continous linear mappings from E into F (resp. the space of all continuous m-homogeous polynomials form E into F) is quasi-complete for the topology of bounded convergence.

Keywords

Locally convex spaces; continuous m-homogeneous polynomials; topology of bounded convergence; equicontinuous sets

Hrčak ID:

6419

URI

https://hrcak.srce.hr/6419

Publication date:

1.12.1999.

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