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The strict topology on spaces of bounded holomorphic functions

Published online by Cambridge University Press:  17 April 2009

Juan Ferrera  and
Angeles Prieto
Juan Ferrera
Affiliation:
Departamento de Analisis MatematicoUniversidad Complutense de Madrid28040 MadridSpain
Angeles Prieto
Affiliation:
Departamento de Analisis MatematicoUniversidad Complutense de Madrid28040 MadridSpain
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We introduce in this paper the space of bounded holomorphic functions on the open unit ball of a Banach space endowed with the strict topology. Some good properties of this topology are obtained. As applications, we prove some results on approximation by polynomials and a description of the continuous homomorphisms.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 49 , Issue 2 , April 1994 , pp. 249 - 256
Copyright
Copyright © Australian Mathematical Society 1994

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