On operator ideals defined by a reflexive Orlicz sequence space

  • J. A. López Molina Universidad Politécnica de Valencia.
  • M. J. Rivera Universidad Politécnica de Valencia.
  • G. Loaiza Universidad EAFIT.
Palabras clave: Maximal operator ideals, ultraproducts of spaces, Orlicz spaces, ideales de operadores máximos, ultraproductos de espacios, espacios de Orlicz.

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.

Biografía del autor

J. A. López Molina, Universidad Politécnica de Valencia.
E.T.S. Ingenieros Agrónomos.
M. J. Rivera, Universidad Politécnica de Valencia.
E.T.S. Ingenieros Agrónomos.
G. Loaiza, Universidad EAFIT.
Departamento de Ciencias Básicas.

Citas

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Publicado
2017-05-08
Cómo citar
López Molina, J., Rivera, M., & Loaiza, G. (2017). On operator ideals defined by a reflexive Orlicz sequence space. Proyecciones. Revista De Matemática, 25(3), 271-291. https://doi.org/10.4067/S0716-09172006000300005
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Artículos