Dergiler / Gazi University Journal of Science / 2011 / Cilt: 24 - Sayı: 1

The Riesz Core of a Sequence

Celal ÇAKAN,Abdullah ALOTAIBI

Sayfa
35–39
DOI
—

Abstract

The Riesz sequence space qcr including the space c has recently been defined in [14] and its some propertieshave been investigated. In the present paper, we introduce a new type core, Kq-core, of a complex valuedsequence 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 .