Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 981453, 5 pages
doi:10.1155/2009/981453
Research Article

Denseness of Numerical Radius Attaining Holomorphic Functions

Han Ju Lee

Department of Mathematics Education, Dongguk University, Seoul 100-715, South Korea

Received 21 June 2009; Accepted 6 October 2009

Academic Editor: Nikolaos Papageorgiou

Copyright © 2009 Han Ju Lee. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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 X is locally uniformly convex, then the set of all numerical attaining elements of A(BX:X) is dense in A(BX:X).