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 language | English |
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Article number | 981453 |
Journal | Journal of Inequalities and Applications |
Volume | 2009 |
DOIs | |
State | Published - 2009 |