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Stability properties of the class of Banach spaces in which all multilinear forms are weakly sequentially continuous

Published online by Cambridge University Press:  18 July 2002

Jesús M. F. Castillo ,
Ricardo García  and
Raquel Gonzalo
Jesús M. F. Castillo
Affiliation:
Departamento de Matemáticas, Universidad de Extremadura, Avenida de Elvas s/n, 06071 Badajoz, Spain e-mail: castillo@unex.es, rgarcia@unex.es
Ricardo García
Affiliation:
Departamento de Matemáticas, Universidad de Extremadura, Avenida de Elvas s/n, 06071 Badajoz, Spain e-mail: castillo@unex.es, rgarcia@unex.es
Raquel Gonzalo
Affiliation:
Facultad de Informática, Universidad Politécnica, Campus de Montegancedo, Boadilla del Monte, 28660 Madrid, Spain e-mail: rnonzalo@fi.upm.es
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A Banach space X is said to be an {\cal M}-space if every continuous multilinear form on X is weakly sequentially continuous. We study in this paper the stability properties of the class of {\cal M}-spaces.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 44 , Issue 1 , January 2002 , pp. 81 - 92
Copyright
2002 Glasgow Mathematical Journal Trust

Footnotes

The research of the first and second authors has been supported in part by DGICYT project PB97-0377. That of the third author has been supported in part by DGICYT project PB96-0607