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(n + 1)-TENSOR NORMS OF LAPRESTÉ'S TYPE

Published online by Cambridge University Press:  31 July 2012

J. A. LÓPEZ MOLINA
J. A. LÓPEZ MOLINA*
Affiliation:
E. T. S. Ingeniería Agronómica y del Medio Natural, Camino de Vera, 46072 Valencia, Spain e-mail: jalopez@mat.upv.es
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Abstract

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We study an (n + 1)-tensor norm αr extending to (n + 1)-fold tensor products, the classical one of Lapresté in the case n = 1. We characterise the maps of the minimal and the maximal multi-linear operator ideals related to αr in the sense of Defant and Floret (A. Defant and K. Floret, Tensor norms and operator ideals, North Holland Mathematical Studies, no. 176 (North Holland, Amsterdam, Netherlands, 1993). As an application we give a complete description of the reflexivity of the αr-tensor product (⊗j = 1n + 1 ℓuj, αr).

Keywords

Primary 46M0546A32
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 54 , Issue 3 , September 2012 , pp. 665 - 692
Copyright
Copyright © Glasgow Mathematical Journal Trust 2012

References

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