The Riesz Core of a Sequence

Year 2011, Volume: 24 Issue: 1, 35 - 39, 14.01.2011

Celal Çakan , Abdullah Alotaıbı

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

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