2014/12/02 by Serkan Demiriz, Demiriz, Serkan, Celal Çakan +1
Mathematics · #40A05 #40C05 #46A45 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:40A05 #msc:40C05 #msc:46A45
paper · pdf · doi:10.48550/arxiv.1412.0891
16 pages. arXiv admin note: substantial text overlap with arXiv:1309.0154; and text overlap with arXiv:1105.3747 by other authors
arxiv created 2014/12/02 · arxiv updated 2014/12/03
In this study, we define new paranormed sequence spaces by combining a double sequential band matrix and a diagonal matrix. Furthermore, we compute the α-,β- and γ- duals and obtain bases for these sequence spaces. Besides this, we characterize the matrix transformations from the new paranormed sequence spaces to the spaces c0(q),c(q),ℓ(q) and ℓ∞(q). Finally, α-core of a complex-valued sequence has been introduced, and we prove some inclusion theorems related to this new type of core.