On Sharp Triangle Inequalities in Banach Spaces II

Sharp triangle inequality and its reverse in Banach spaces were recently showed by Mitani et al. (2007). In this paper, we present equality attainedness for these inequalities in strictly convex Banach spaces.

Bibliographic Details
Main Authors: Kichi-Suke Saito, Ken-Ichi Mitani
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2010/323609
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spelling doaj-1f7d20cfa9144870b172be8571d162732020-11-24T20:58:11ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-01201010.1155/2010/323609On Sharp Triangle Inequalities in Banach Spaces IIKichi-Suke SaitoKen-Ichi MitaniSharp triangle inequality and its reverse in Banach spaces were recently showed by Mitani et al. (2007). In this paper, we present equality attainedness for these inequalities in strictly convex Banach spaces. http://dx.doi.org/10.1155/2010/323609
collection DOAJ
language English
format Article
sources DOAJ
author Kichi-Suke Saito
Ken-Ichi Mitani
spellingShingle Kichi-Suke Saito
Ken-Ichi Mitani
On Sharp Triangle Inequalities in Banach Spaces II
Journal of Inequalities and Applications
author_facet Kichi-Suke Saito
Ken-Ichi Mitani
author_sort Kichi-Suke Saito
title On Sharp Triangle Inequalities in Banach Spaces II
title_short On Sharp Triangle Inequalities in Banach Spaces II
title_full On Sharp Triangle Inequalities in Banach Spaces II
title_fullStr On Sharp Triangle Inequalities in Banach Spaces II
title_full_unstemmed On Sharp Triangle Inequalities in Banach Spaces II
title_sort on sharp triangle inequalities in banach spaces ii
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2010-01-01
description Sharp triangle inequality and its reverse in Banach spaces were recently showed by Mitani et al. (2007). In this paper, we present equality attainedness for these inequalities in strictly convex Banach spaces.
url http://dx.doi.org/10.1155/2010/323609
work_keys_str_mv AT kichisukesaito onsharptriangleinequalitiesinbanachspacesii
AT kenichimitani onsharptriangleinequalitiesinbanachspacesii
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