The James constant of normalized norms on <inline-formula><graphic file="1029-242X-2006-26265-i1.gif"/></inline-formula>

The James constant of normalized norms on <inline-formula><graphic file="1029-242X-2006-26265-i1.gif"/></inline-formula>

<p/> <p>We introduce a new class of normalized norms on <inline-formula><graphic file="1029-242X-2006-26265-i2.gif"/></inline-formula> which properly contains all absolute normalized norms. We also give a criterion for deciding whether a given norm in this cla...

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Main Authors: Nilsrakoo Weerayuth, Saejung Satit
Format: Article
Language:English
Published: SpringerOpen 2006-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2006/026265
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spelling doaj-a314698e324e4f92940bc021ec4868b12020-11-25T00:38:51ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2006-01-0120061026265The James constant of normalized norms on <inline-formula><graphic file="1029-242X-2006-26265-i1.gif"/></inline-formula>Nilsrakoo WeerayuthSaejung Satit<p/> <p>We introduce a new class of normalized norms on <inline-formula><graphic file="1029-242X-2006-26265-i2.gif"/></inline-formula> which properly contains all absolute normalized norms. We also give a criterion for deciding whether a given norm in this class is uniformly nonsquare. Moreover, an estimate for the James constant is presented and the exact value of some certain norms is computed. This gives a partial answer to the question raised by Kato et al.</p>http://www.journalofinequalitiesandapplications.com/content/2006/026265
collection DOAJ
language English
format Article
sources DOAJ
author Nilsrakoo Weerayuth
Saejung Satit
spellingShingle Nilsrakoo Weerayuth
Saejung Satit
The James constant of normalized norms on <inline-formula><graphic file="1029-242X-2006-26265-i1.gif"/></inline-formula>
Journal of Inequalities and Applications
author_facet Nilsrakoo Weerayuth
Saejung Satit
author_sort Nilsrakoo Weerayuth
title The James constant of normalized norms on <inline-formula><graphic file="1029-242X-2006-26265-i1.gif"/></inline-formula>
title_short The James constant of normalized norms on <inline-formula><graphic file="1029-242X-2006-26265-i1.gif"/></inline-formula>
title_full The James constant of normalized norms on <inline-formula><graphic file="1029-242X-2006-26265-i1.gif"/></inline-formula>
title_fullStr The James constant of normalized norms on <inline-formula><graphic file="1029-242X-2006-26265-i1.gif"/></inline-formula>
title_full_unstemmed The James constant of normalized norms on <inline-formula><graphic file="1029-242X-2006-26265-i1.gif"/></inline-formula>
title_sort james constant of normalized norms on <inline-formula><graphic file="1029-242x-2006-26265-i1.gif"/></inline-formula>
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2006-01-01
description <p/> <p>We introduce a new class of normalized norms on <inline-formula><graphic file="1029-242X-2006-26265-i2.gif"/></inline-formula> which properly contains all absolute normalized norms. We also give a criterion for deciding whether a given norm in this class is uniformly nonsquare. Moreover, an estimate for the James constant is presented and the exact value of some certain norms is computed. This gives a partial answer to the question raised by Kato et al.</p>
url http://www.journalofinequalitiesandapplications.com/content/2006/026265
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