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Closed linear maps from a barrelled normed space into itself need not be continuous

Published online by Cambridge University Press:  17 April 2009

José Bonet
José Bonet
Affiliation:
Departamento de Matemática AplicadaE.T.S. ArquitecturaUniversidad Politécnica de ValenciaE-46071 ValenciaSpain e-mail: jbonet@pleiades.upv.es
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Abstract

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Examples of normed barrelled spaces E or quasicomplete barrelled spaces E are given such that there is a non-continuous linear map from the space E into itself with closed graph.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 57 , Issue 2 , April 1998 , pp. 177 - 179
Copyright
Copyright © Australian Mathematical Society 1998

References

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