S*-ORLICZ LATTICE

In this paper, we review here some of the ideas we have encountered in Orlicz function and define S*- Orlicz lattice. We have proved that S*-Orlicz space (X, ||.||F) is a normed S*-Vector Lattice, complete and therefore, it's a Banach S*-Vector Lattice.

Bibliographic Details
Main Authors: Falah Hasan Sarhan, Ali Hussain Battor Battor
Format: Article
Language:English
Published: Faculty of Computer Science and Mathematics, University of Kufa 2010-04-01
Series:Journal of Kufa for Mathematics and Computer
Subjects:
Online Access:https://journal.uokufa.edu.iq/index.php/jkmc/article/view/12766
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author Falah Hasan Sarhan
Ali Hussain Battor Battor
author_facet Falah Hasan Sarhan
Ali Hussain Battor Battor
author_sort Falah Hasan Sarhan
collection DOAJ
description In this paper, we review here some of the ideas we have encountered in Orlicz function and define S*- Orlicz lattice. We have proved that S*-Orlicz space (X, ||.||F) is a normed S*-Vector Lattice, complete and therefore, it's a Banach S*-Vector Lattice.
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spelling doaj.art-f2ecd5a8162549499536ff8142a14dda2024-03-10T11:02:29ZengFaculty of Computer Science and Mathematics, University of KufaJournal of Kufa for Mathematics and Computer2076-11712518-00102010-04-011110.31642/JoKMC/2018/010108S*-ORLICZ LATTICEFalah Hasan Sarhan0Ali Hussain Battor Battor1University of KufaUniversity of Kufa In this paper, we review here some of the ideas we have encountered in Orlicz function and define S*- Orlicz lattice. We have proved that S*-Orlicz space (X, ||.||F) is a normed S*-Vector Lattice, complete and therefore, it's a Banach S*-Vector Lattice. https://journal.uokufa.edu.iq/index.php/jkmc/article/view/12766Orlicz functionS*-Orlicz space
spellingShingle Falah Hasan Sarhan
Ali Hussain Battor Battor
S*-ORLICZ LATTICE
Journal of Kufa for Mathematics and Computer
Orlicz function
S*-Orlicz space
title S*-ORLICZ LATTICE
title_full S*-ORLICZ LATTICE
title_fullStr S*-ORLICZ LATTICE
title_full_unstemmed S*-ORLICZ LATTICE
title_short S*-ORLICZ LATTICE
title_sort s orlicz lattice
topic Orlicz function
S*-Orlicz space
url https://journal.uokufa.edu.iq/index.php/jkmc/article/view/12766
work_keys_str_mv AT falahhasansarhan sorliczlattice
AT alihussainbattorbattor sorliczlattice