Basic topological and geometric properties of Cesáro-Orlicz spaces

• المؤلفون الرئيسيون: Cui Y., Hudzik H., Petrot N., Suantai S., Szymaszkiewicz A.
• التنسيق: Conference or Workshop Item
• اللغة: English
• منشور في: 2014
• الوصول للمادة أونلاين: http://www.scopus.com/inward/record.url?eid=2-s2.0-29044432840&partnerID=40&md5=a34936a06e5f7549f37252a6866f3e26; http://cmuir.cmu.ac.th/handle/6653943832/4935
• المؤسسة: Chiang Mai University

Necessary and sufficient conditions under which the Cesàro-Orlicz sequence space CESø is nontrivial are presented. It is proved that for the Luxemburg norm, Cesàro-Orlicz spaces cesø have the Fatou property. Consequently, the spaces are complete. It is also proved that the subspace of order continuo...