On operator ideals defined by a reflexive Orlicz sequence space

• López Molina, J. A. ^[1] ; Rivera, M. J. ^[1] ; Loaiza, G. ^[2]
  1. [1] Universidad Politécnica de Valencia

     Universidad Politécnica de Valencia

     Valencia, España

     
  2. [2] Universidad EAFIT

     Universidad EAFIT

     Colombia

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 25, Nº. 3, 2006, págs. 271-291
• Idioma: inglés
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• Resumen

  • Classical theory of tensornorms and operator ideals studies mainly those defined by means of sequence spaces ℓp. Considering Orlicz sequence spaces as natural generalization of ℓp spaces, in a previous paper [12] an Orlicz sequence space was used to define a tensornorm, and characterize minimal and maximal operator ideals associated, by using local techniques. Now, in this paper we give a new characterization of the maximal operator ideal to continue our analysis of some coincidences among such operator ideals. Finally we prove some new metric properties of tensornorm mentioned above.