On operator ideals defined by a reflexive Orlicz sequence space
Author
López Molina, J. A.
Rivera, M. J.
Loaiza, G.
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/153710.4067/S0716-09172006000300005
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.