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Quasi-completely continuous multilinear operators

Published online by Cambridge University Press:  21 May 2010

Antonio M. Peralta ,
Ignacio Villanueva ,
J. D. Maitland Wright  and
Kari Ylinen
Antonio M. Peralta
Affiliation:
Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain (aperalta@ugr.es)
Ignacio Villanueva
Affiliation:
Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, Madrid 28040, Spain (ignaciov@mat.ucm.es)
J. D. Maitland Wright
Affiliation:
Department of Mathematical Sciences, University of Aberdeen, Aberdeen AB24 3UE, UK (j.d.m.wright@abdn.ac.uk)
Kari Ylinen
Affiliation:
Department of Mathematics, University of Turku, 20014 Turku, Finland (ylinen@utu.fi)
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Abstract

We introduce the concept of quasi-completely continuous multilinear operators and use this concept to characterize, for a wide class of Banach spaces X1, …, Xk, the multilinear operators T : X1 × … × Xk → X with an X-valued Aron–Berner extension.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 140 , Issue 3 , June 2010 , pp. 635 - 649
Copyright
Copyright © Royal Society of Edinburgh 2010

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