On operator ideals defined by a reflexive Orlicz sequence space
Fecha
2006-01-01
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Departamento de Matematicas, Universidad Catolica del Norte
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. © 2007 Universidad Católica del Norte, Departamento de Matemáticas.