Abstract of a paper by Konstantin Boyko, Vladimir Kadets, Miguel Martin, and Dirk Werner
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 The source file(s), miguelvovakostya.tex: 34653 bytes, is(are) stored in gzipped form as 0509374.gz with size 12kb. The corresponding postcript file has gzipped size 63kb. Submitted from: werner@math.fu-berlin.de The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0509374 or http://arXiv.org/abs/math.FA/0509374 or by email in unzipped form by transmitting an empty message with subject line uget 0509374 or in gzipped form by using subject line get 0509374 to: math@arXiv.org.
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Dale Alspach