On Riesz Sections in Sequence Spaces
Merve Temizer Ersoy *
Department of Mathematicş, Kahramanmaraş Sütçü İmam University, Kahramanmaraş, 46100, Turkey.
Bilal Altay
Department of Primary Education, İnönü University, Malatya, 44000, Turkey.
Hasan Furkan
Department of Mathematicş, Kahramanmaraş Sütçü İmam University, Kahramanmaraş, 46100, Turkey.
*Author to whom correspondence should be addressed.
Abstract
The theory of FK spaces was introduced by Zeller in [1] and some properties of sectional subspaces in FK spaces were investigated by Zeller in [2]. The notion of Cesàro sections in FK spaces was studied in [3]. In [4], Buntinas examined Toeplitz sections in sequence spaces and characterized some properties. In this paper, we introduce Riesz sections in sequence spaces and examine some properties of them.
Keywords: Topological sequence space, FK spaces, AK space, Dual spaces