Resumen

SWARTZ, CHARLES. THE UNIFORM BOUNDEDNESS PRINCIPLE FOR ARBITRARY LOCALLY CONVEX SPACES. Proyecciones (Antofagasta) [online]. 2007, vol.26, n.3, pp. 245-251. ISSN 0716-0917.  doi: 10.4067/S0716-09172007000300002.

We establish uniform boundedness principle for pointwise bounded families of continuous linear operators between locally convex spaces which require no assumptions such as barrelledness on the domain space of the operators. We give applications of the result to separately continuous bilinear operators between locally convex spaces