Open AccessDenseness of Numerical Radius Attaining Holomorphic Functions
Author(s) -
Han Ju Lee
Publication year - 2009
Publication title -
journal of inequalities and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 50
eISSN - 1029-242X
pISSN - 1025-5834
DOI - 10.1155/2009/981453
Subject(s) - mathematics , holomorphic function , banach space , radius , pure mathematics , regular polygon , uniformly convex space , identity theorem , mathematical analysis , banach manifold , geometry , lp space , computer security , computer science
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)