THE UNIFORM BOUNDEDNESS PRINCIPLE FOR ARBITRARY LOCALLY CONVEX SPACES

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

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Bibliographic Details
Main Author: SWARTZ,CHARLES
Format: Digital revista
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2007
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000300002
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