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

Gabriel Ignacio Loaiza Ossa | Zendy; Juan Antonio López Molina | Zendy; M. J. Rivera | Zendy

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

Author(s) -

Gabriel Ignacio Loaiza Ossa,

Juan Antonio López Molina,

M. J. Rivera

Publication year - 2001

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1016

Subject(s) - norm (philosophy) , mathematics , characterization (materials science) , ideal (ethics) , pure mathematics , function (biology) , tensor (intrinsic definition) , physics , epistemology , philosophy , biology , optics , evolutionary biology

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

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