A SIMPLE NATURAL APPROACH TO THE UNIFORM BOUNDEDNESS PRINCIPLE FOR MUTILINEAR MAPPINGS

dc.creatorThiago Bernandino,A
dc.date2009-12-01
dc.date.accessioned2017-03-07T16:20:48Z
dc.date.available2017-03-07T16:20:48Z
dc.identifierhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000300001
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/399991
dc.descriptionThe goal of this note is to give a new, simple and elegant proof to the Uniform Boundedness Principle (UBP) to m-linear mappings, which surprisingly, as far as we know, does not appear in the literature. The multilinear UBP is well-known for specialists but the original proof (presented in [4]) seems a little bit unnatural and uses the linear UBP. In the present note we show a quite simple argument which does not need to invoke the linear UBP and, when m = 1, recovers the classical proof of the linear case. As an immediate consequence, we obtain the Banach-Steinhaus Theorem (BST) for multilinear mappings.
dc.formattext/html
dc.languageen
dc.publisherUniversidad Católica del Norte, Departamento de Matemáticas
dc.sourceProyecciones (Antofagasta) v.28 n.3 2009
dc.titleA SIMPLE NATURAL APPROACH TO THE UNIFORM BOUNDEDNESS PRINCIPLE FOR MUTILINEAR MAPPINGS
dc.typeArtículos de revistas


Este ítem pertenece a la siguiente institución