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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Main Author:	Lee HanJu
Format:	Article
Language:	English
Published:	SpringerOpen 2009-01-01
Series:	Journal of Inequalities and Applications
Online Access:	http://www.journalofinequalitiesandapplications.com/content/2009/981453

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spelling	doaj-4aed75533cf64b5ba0fd3f0f5b0491fd2020-11-24T23:57:15ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-0120091981453Denseness of Numerical Radius Attaining Holomorphic FunctionsLee HanJu<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>http://www.journalofinequalitiesandapplications.com/content/2009/981453
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Lee HanJu
spellingShingle	Lee HanJu Denseness of Numerical Radius Attaining Holomorphic Functions Journal of Inequalities and Applications
author_facet	Lee HanJu
author_sort	Lee HanJu
title	Denseness of Numerical Radius Attaining Holomorphic Functions
title_short	Denseness of Numerical Radius Attaining Holomorphic Functions
title_full	Denseness of Numerical Radius Attaining Holomorphic Functions
title_fullStr	Denseness of Numerical Radius Attaining Holomorphic Functions
title_full_unstemmed	Denseness of Numerical Radius Attaining Holomorphic Functions
title_sort	denseness of numerical radius attaining holomorphic functions
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1025-5834 1029-242X
publishDate	2009-01-01
description	<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>
url	http://www.journalofinequalitiesandapplications.com/content/2009/981453
work_keys_str_mv	AT leehanju densenessofnumericalradiusattainingholomorphicfunctions
_version_	1725454807219568640

Denseness of Numerical Radius Attaining Holomorphic Functions

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