SOME GENERALIZATIONS OF THE SEQUENCE SPACE rp a

Document Type: Regular Paper

Authors

1 Kahramanmaras Sutcu Imam University, Faculty of Science and Arts, Kahramanmaras, 46100, Turkey

2 2Inonu University, Faculty of Education, Malatya, 44280, Turkey

Abstract

In the present paper, the sequence space ar(u, p) of a non-absolute type is introduced and it is
proved that the space ar(u, p) is linearly isomorphic to the Maddox’s space 􀁁(p).Besides this, the basis is
constructed and the α-, β- and γ-duals are computed for the space ar(u, p). Furthermore, some matrix
mappings from ar(u, p) to some sequence spaces are characterized. The final section of the paper is devoted to
some consequences related to the rotundity of the space ar(u, p).

Keywords