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A counterexample using 4-linear forms

Published online by Cambridge University Press:  17 April 2009

David Pérez-García
David Pérez-García
Affiliation:
Área de Matemática Aplicada, Departmento de Matemáticas y Física Aplicadas y, Ciencias de la Naturaleza, Escuela Superior de Ciencias Experimentales y Tecnología, Universidad Rey Juan Carlos, Edificio Departmental II, 28933 Móstoles (Madrid), e-mail: [email protected]
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We prove that, for n ≥ 4 and arbitrary infinite dimensional Banach spaces X1,…Xn, there exists an extendible n-linear form T: X1 x…x Xn →  that is not integral.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 70 , Issue 3 , December 2004 , pp. 469 - 473
Copyright
Copyright © Australian Mathematical Society 2004

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