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 operato...
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| Langue: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2007
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| Accès en ligne: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000300002 |
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| Résumé: | 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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