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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2006-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2006/026265 |
| _version_ | 1828186267544715264 |
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| author | Nilsrakoo Weerayuth Saejung Satit |
| author_facet | Nilsrakoo Weerayuth Saejung Satit |
| author_sort | Nilsrakoo Weerayuth |
| collection | DOAJ |
| 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> |
| first_indexed | 2024-04-12T07:16:20Z |
| format | Article |
| id | doaj.art-a314698e324e4f92940bc021ec4868b1 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-04-12T07:16:20Z |
| publishDate | 2006-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-a314698e324e4f92940bc021ec4868b12022-12-22T03:42:27ZengSpringerOpenJournal 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 |
| 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 |
| title | 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_short | 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 |
| url | http://www.journalofinequalitiesandapplications.com/content/2006/026265 |
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