Büsra Aris, Serap Öztop, Seyyed Mohammad Tabatabaie, Badik Hüseyin Uysal, Rüya Üster
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Abstract
In this paper, we study multiplication operators on generalized Orlicz spaces \(X^\Phi\) associated to a Banach function space X, where \(\Phi\) is a Young function, and give some characterization of them to be well-defined and bounded. Also, we present some sufficient and necessary conditions for such operators to be compact or invertible. Moreover, we find the essential norm of a multiplication operator on \(X^\Phi\) while the context measure space is discrete. Many results of this paper cover known Banach function spaces related to Orlicz one.
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The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences
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