%0 Journal Article
%T SOME GENERALIZATIONS OF THE SEQUENCE SPACE rp a
%J Iranian Journal of Science
%I Springer
%Z 2731-8095
%A AYDIN, C.
%A BASAR, F.
%D 2006
%\ 09/14/2006
%V 30
%N 2
%P 175-190
%! SOME GENERALIZATIONS OF THE SEQUENCE SPACE rp a
%K Paranormed sequence space
%K α-
%K β- and γ-duals
%K matrix mappings and rotundity of a sequence space
%R 10.22099/ijsts.2006.2746
%X In the present paper, the sequence space ar(u, p) of a non-absolute type is introduced and it isproved that the space ar(u, p) is linearly isomorphic to the Maddox’s space (p).Besides this, the basis isconstructed and the α-, β- and γ-duals are computed for the space ar(u, p). Furthermore, some matrixmappings from ar(u, p) to some sequence spaces are characterized. The final section of the paper is devoted tosome consequences related to the rotundity of the space ar(u, p).
%U https://ijsts.shirazu.ac.ir/article_2746_f8064e156776d881c9ee08ee3ea6d003.pdf