Denseness of numerical radius attaining holomorphic functions

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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(B X:X) is dense in A(B X:X).

Original languageEnglish
Article number981453
JournalJournal of Inequalities and Applications
Volume2009
DOIs
StatePublished - 2009

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