The essential norm of multiplication operators acting on Orlicz sequence spaces

• Ramos-Fernández, Julio César ^[1] ; Salas-Brown, Margot ^[2]
  1. [1] Universidad Distrital Francisco José de Caldas

     Universidad Distrital Francisco José de Caldas

     Colombia

     
  2. [2] Universidad del Rosario

     Universidad del Rosario

     Colombia

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. 6, 2020, págs. 1407-1414
• Idioma: inglés
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• Resumen

  • We calculate the measure of non-compactness or the essential norm of the multiplication operator Mu acting on Orlicz sequence spaces l?. As a consequence of our result, we obtain a known criteria for the compactness of multiplication operator acting on l?.