Characterization of the Maximal Ideal of Operators Associated to the Tensor Norm Defined by an Orlicz Function

G. Loaiza; J. A. López Molina; M. J. Rivera

doi:10.4171/zaa/1016

JournalszaaVol. 20, No. 2pp. 281–293

Characterization of the Maximal Ideal of Operators Associated to the Tensor Norm Defined by an Orlicz Function

G. Loaiza
Universidad EAFIT, Medellin, Colombia
J. A. López Molina
Universidad Politecnia de Valencia, Spain
M. J. Rivera
Universidad Politecnia de Valencia, Spain

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Abstract

Given an Orlicz function $H$ satisfying the $Δ_{2}$ property at zero, one can use the Orlicz sequence space $l_{H}$ to define a tensor norm $g_{H}^{c}$ and the minimal ( $H^{c}$ -nuclear) and maximal ( $H^{c}$ -integral) operator ideals associated to $g_{H}^{c}$ in the sense of Defant and Floret. The aim of this paper is to characterize $H^{c}$ -integral operators by a factorization theorem.

Cite this article

G. Loaiza, J. A. López Molina, M. J. Rivera, Characterization of the Maximal Ideal of Operators Associated to the Tensor Norm Defined by an Orlicz Function. Z. Anal. Anwend. 20 (2001), no. 2, pp. 281–293

DOI 10.4171/ZAA/1016