Title of article :
The Riesz Core of a Sequence
Author/Authors :
ÇAKAN, Celal İnönü University - Faculty of Education, Turkey , ALOTAIBI, Abdullah M. King Abdulaziz University - School of Mathematics, Saudi Arabia
Abstract :
The Riesz sequence space r^q_c 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, K_q-core, of a complex valued sequence and also determine the required conditions for a matrix B for which K_q-core (Bx) ⊆ K-core (x), K_q-core (Bx) ⊆ st_A-core (x) and K_q-core (Bx) ⊆ Kq-core (x) hold for all x ∈ _L∞ .
Keywords :
Matrix transformations , core of a sequence , statistical convergence
Journal title :
Gazi University Journal Of Science
Journal title :
Gazi University Journal Of Science
