On operator ideals defined by a reflexive Orlicz sequence space

Authors

  • J. A. López Molina Universidad Politécnica de Valencia.
  • M. J. Rivera Universidad Politécnica de Valencia.
  • G. Loaiza Universidad EAFIT.

DOI:

https://doi.org/10.4067/S0716-09172006000300005

Keywords:

Maximal operator ideals, ultraproducts of spaces, Orlicz spaces, ideales de operadores máximos, ultraproductos de espacios, espacios de Orlicz.

Abstract

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.

Author Biographies

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.

References

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Published

2017-05-08

How to Cite

[1]
J. A. López Molina, M. J. Rivera, and G. Loaiza, “On operator ideals defined by a reflexive Orlicz sequence space”, Proyecciones (Antofagasta, On line), vol. 25, no. 3, pp. 271-291, May 2017.

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