
The essential norm of multiplication operators acting on Orlicz sequence spaces
Author(s) -
Julio C. Ramos Fernández,
Margot Salas-Brown
Publication year - 2020
Publication title -
proyecciones
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.226
H-Index - 12
eISSN - 0717-6279
pISSN - 0716-0917
DOI - 10.22199/issn.0717-6279-2020-06-0086
Subject(s) - multiplication operator , compact space , mathematics , multiplication (music) , norm (philosophy) , sequence (biology) , operator (biology) , compact operator , operator norm , pure mathematics , arithmetic , discrete mathematics , operator theory , combinatorics , computer science , hilbert space , chemistry , biochemistry , repressor , political science , transcription factor , law , extension (predicate logic) , gene , programming language
We calculate the measure of non-compactness or the essential norm of the multiplication operator Mu acting on Orlicz sequence spaces lφ. As a consequence of our result, we obtain a known criteria for the compactness of multiplication operator acting on lφ.