This is an announcement for the paper "Numerical index and duality" by Konstantin Boyko, Vladimir Kadets, Miguel Martin, and Dirk Werner.
Abstract: We present an example of a Banach space whose numerical index is strictly greater than the numerical index of its dual, giving a negative answer to a question which has been latent since the beginning of the seventies. We also show a particular case in which the numerical index of the space and the one of its dual coincide.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20; 47A12; 46B22; 46E15
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Submitted from: werner@math.fu-berlin.de
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