Abstract:The object of this paper is to introduce generalized Lorentz sequence spaces L(f, v, p) defined by modulus function f. Also we study some topologic properties of this space and obtain some inclusion relations.
Bu çalışmada, Rafeiro vd. (2018) tarafından tanımlanan büyük Lebesgue dizi uzayları modülüs fonksiyonu yardımıyla genelleştirildi. Ayrıca, bu uzayların bazı topolojik ve kapsama özellikleri incelendi.
Bu çalışmada, Rafeiro vd. (2018) tarafından tanımlanan büyük Lebesgue dizi uzayları modülüs fonksiyonu yardımıyla genelleştirildi. Ayrıca, bu uzayların bazı topolojik ve kapsama özellikleri incelendi.
In this paper, we introduce the grand Lorentz sequence spaces p;q) and study on some topological properties. Also, we characterize some properties of the multiplication operator, such as compactness, Fredholmness etc., de…ned on` p;q) .
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.