Denseness of Numerical Radius Attaining Holomorphic Functions
<p/> <p>We study the density of numerical radius attaining holomorphic functions on certain Banach spaces using the Lindenstrauss method. In particular, it is shown that if a complex Banach space <inline-formula> <graphic file="1029-242X-2009-981453-i1.gif"/></in...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2009-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2009/981453 |
| Summary: | <p/> <p>We study the density of numerical radius attaining holomorphic functions on certain Banach spaces using the Lindenstrauss method. In particular, it is shown that if a complex Banach space <inline-formula> <graphic file="1029-242X-2009-981453-i1.gif"/></inline-formula> is locally uniformly convex, then the set of all numerical attaining elements of <inline-formula> <graphic file="1029-242X-2009-981453-i2.gif"/></inline-formula> is dense in <inline-formula> <graphic file="1029-242X-2009-981453-i3.gif"/></inline-formula>.</p> |
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| ISSN: | 1025-5834 1029-242X |