TY - JOUR
ID - 2746
TI - SOME GENERALIZATIONS OF THE SEQUENCE SPACE rp a
JO - Iranian Journal of Science
JA - ISTT
LA - en
SN - 2731-8095
AU - AYDIN, C.
AU - BASAR, F.
AD - Kahramanmaras Sutcu Imam University, Faculty of Science and Arts, Kahramanmaras, 46100, Turkey
AD - 2Inonu University, Faculty of Education, Malatya, 44280, Turkey
Y1 - 2006
PY - 2006
VL - 30
IS - 2
SP - 175
EP - 190
KW - Paranormed sequence space
KW - α-
KW - β- and γ-duals
KW - matrix mappings and rotundity of a sequence space
DO - 10.22099/ijsts.2006.2746
N2 - 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).
UR - https://ijsts.shirazu.ac.ir/article_2746.html
L1 - https://ijsts.shirazu.ac.ir/article_2746_f8064e156776d881c9ee08ee3ea6d003.pdf
ER -