The Riesz Core of a Sequence

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Gazi University Journal of Science
Volume:24 Issue:1
The Riesz Core of a Sequence

The Riesz Core of a Sequence

Authors : Celal ÇAKAN, Abdullah ALOTAIBI

Pages : 35-39

View : 29 | Download : 13

Publication Date : 2011-01-14

Article Type : Research Paper

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 insert ignore into journalissuearticles values(Bx); ⊆ K-core insert ignore into journalissuearticles values(x);, Kqcore insert ignore into journalissuearticles values(Bx); ⊆ stA-core insert ignore into journalissuearticles values(x); and Kq-core insert ignore into journalissuearticles values(Bx); ⊆ Kq-core insert ignore into journalissuearticles values(x); hold for all x ∈ ∞ A .
Keywords : Matrix transformations, core of a sequence, statistical convergence

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