2013/09/16 by Serkan Demiriz, Demiriz, Serkan, Osman Ozdemir +3
Mathematics · #40A05 #40C05 #46A45 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:40A05 #msc:40C05 #msc:46A45
paper · pdf · doi:10.48550/arxiv.1309.3903
31 pages
arxiv created 2013/09/16 · arxiv updated 2013/09/17
In this study, we define a new triangle matrix W=\wnkλ(r,s,t)\ which derived by using multiplication of λ=(λnk) triangle matrix with B(r,s,t) triple band matrix. Also, we introduce the sequence spaces c0λ(B),cλ(B),ℓ∞λ(B) and ℓpλ(B) by using matrix domain of this matrix on the sequence spaces c0,c,ℓ∞ and ℓp of the matrix W, respectively. Moreover, we show that norm isomorphic to the spaces c0,c,ℓ∞ and ℓp, respectively. Furthermore, we establish some inclusion relations concerning with those spaces and determine α-,β-γ- duals of those spaces and construct their Schauder basis. Finally, we characterize the classes (μ1λ(B):μ2) of infinite matrices, where μ1∈\c,c0,ℓp\ and μ2∈\ℓ∞,c,c0,ℓp\.