Basic topological and geometric properties of Cesáro-Orlicz spaces

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

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Bibliographic Details
Main Authors: Yunan Cui, Henryk Hudzik, Narin Petrot, Suthep Suantai, Alicja Szymaszkiewicz
Format: Journal
Published: 2018
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=29044432840&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/62295
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Institution: Chiang Mai University