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On symmetric ideals of multilinear mappings between Banach spaces

Published online by Cambridge University Press:  09 April 2009

Geraldo Botelho
Affiliation:
Faculdade de Matemática, Univ. Federal de Uberlândia, 38.400-902 Uberlândia, Brazil, e-mail: [email protected]
Daniel M. Pellegrino
Affiliation:
Departamento de Matemática e Estatística, Univ. Federal de Campina Grande, 58.109-970 Campina Grande, Brazil, e-mail: [email protected]
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Abstract

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In this paper we provide examples and counterexamples of symmetric ideals of multilinear mappings between Banach spaces and prove that if I1, …, In are operator ideals, then the ideals of multilinear mappings L(I1, …, In) and /I1, …, In/ are symmetric if and only if I1 = … = In.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2006

References

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