Some sequence spaces on the Orlicz space

Main Author: haryadi, Haryadi
Format: Article info application/pdf eJournal
Bahasa: eng
Terbitan: Mathematics Department , 2017
Online Access: http://conferences.uin-malang.ac.id/index.php/SIMANIS/article/view/139
http://conferences.uin-malang.ac.id/index.php/SIMANIS/article/view/139/59
Daftar Isi:
  • Although, the Orlicz space is a generalization of classical Banach space , the method used in [4] to construct sequences spaces on  no longer work on the Orlicz space. In this paper, we construct some sequence space in the Orlicz space such that the resulting sequences spaces is a generalization of the sequence space in . We  use modular to construct the Luxemburg norm and describe some topological properties in the spaces.