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 |
| Summary: | <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> |
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| ISSN: | 1025-5834 1029-242X |