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Regular multilinear operators on C(K) spaces

Published online by Cambridge University Press:  17 April 2009

Fernando Bombal  and
Ignacio Villanueva
Fernando Bombal
Affiliation:
Departamento de Análisis MatemáticoUniversidad Complutense de Madrid28040 MadridSpain
Ignacio Villanueva
Affiliation:
Departamento de Análisis MatemáticoUniversidad Complutense de Madrid28040 MadridSpain
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Abstract

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The purpose of this paper is to characterise the class of regular continuous multilinear operators on a product of C(K) spaces, with values in an arbitrary Banach space. This class has been considered recently by several authors in connection with problems of factorisation of polynomials and holomorphic mappings. We also obtain several characterisations of a compact dispersed space K in terms of polynomials and multilinear forms defined on C(K).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 60 , Issue 1 , August 1999 , pp. 11 - 20
Copyright
Copyright © Australian Mathematical Society 1999

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