The Riesz Core of a Sequence
Authors : Celal Çakan, Abdullah Alotaibi
Pages : 35-39
View : 11 | Download : 4
Publication Date : 2011-01-14
Article Type : Research
Abstract : The Riesz sequence space q cr including the space c has recently been defined in [14] and its some properties have been investigated. In the present paper, we introduce a new type core, Kq-core, of a complex valued sequence and also determine the required conditions for a matrix B for which Kq-core (Bx) ⊆ K-core (x), Kqcore (Bx) ⊆ stA-core (x) and Kq-core (Bx) ⊆ Kq-core (x) hold for all x ∈ ∞ A .Keywords : Matrix transformations, core of a sequence, statistical convergence