Duals of generalized Orlicz Hilbert sequence spaces and matrix transformations


Damla Barlak, Çigdem Bektaş




In this paper, we define the sequence spaces h c ∆ (m) v , M,u, p , h 0 ∆ (m) v , M,u, p and h ∞ ∆ (m) v , M,u, p resulting from the infinite Hilbert matrix and the Musielak-Orlicz function. We give some topological properties and inclusion relations of these newly created spaces. We also identified α−, β− and γ−duals of the spaces. Finally, we tried to characterize some matrix transformations between these spaces.