Basic topological and geometric properties of Cesáro-Orlicz spaces

Basic topological and geometric properties of Cesáro-Orlicz spaces

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...

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Main Authors: Cui Y., Hudzik H., Petrot N., Suantai S., Szymaszkiewicz A.
Format: Conference or Workshop Item
Language:English
Published: 2014
Online Access:http://www.scopus.com/inward/record.url?eid=2-s2.0-29044432840&partnerID=40&md5=a34936a06e5f7549f37252a6866f3e26
http://cmuir.cmu.ac.th/handle/6653943832/4935
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Institution: Chiang Mai University
Language: English
id th-cmuir.6653943832-4935
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spelling th-cmuir.6653943832-49352014-08-30T02:55:58Z Basic topological and geometric properties of Cesáro-Orlicz spaces Cui Y. Hudzik H. Petrot N. Suantai S. Szymaszkiewicz A. 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 continuous elements in cesø can be defined in two ways. Finally, criteria for strict monotonicity, uniform monotonicity and rotundity (= strict convexity) of the spaces ces ø are given. 2014-08-30T02:55:58Z 2014-08-30T02:55:58Z 2005 Conference Paper 02534142 PIAMD http://www.scopus.com/inward/record.url?eid=2-s2.0-29044432840&partnerID=40&md5=a34936a06e5f7549f37252a6866f3e26 http://cmuir.cmu.ac.th/handle/6653943832/4935 English
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
language English
description 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 continuous elements in cesø can be defined in two ways. Finally, criteria for strict monotonicity, uniform monotonicity and rotundity (= strict convexity) of the spaces ces ø are given.
format Conference or Workshop Item
author Cui Y.
Hudzik H.
Petrot N.
Suantai S.
Szymaszkiewicz A.
spellingShingle Cui Y.
Hudzik H.
Petrot N.
Suantai S.
Szymaszkiewicz A.
Basic topological and geometric properties of Cesáro-Orlicz spaces
author_facet Cui Y.
Hudzik H.
Petrot N.
Suantai S.
Szymaszkiewicz A.
author_sort Cui Y.
title Basic topological and geometric properties of Cesáro-Orlicz spaces
title_short Basic topological and geometric properties of Cesáro-Orlicz spaces
title_full Basic topological and geometric properties of Cesáro-Orlicz spaces
title_fullStr Basic topological and geometric properties of Cesáro-Orlicz spaces
title_full_unstemmed Basic topological and geometric properties of Cesáro-Orlicz spaces
title_sort basic topological and geometric properties of cesáro-orlicz spaces
publishDate 2014
url http://www.scopus.com/inward/record.url?eid=2-s2.0-29044432840&partnerID=40&md5=a34936a06e5f7549f37252a6866f3e26
http://cmuir.cmu.ac.th/handle/6653943832/4935
_version_ 1681420330622517248

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