Numerical index and duality

Details Numerical index and duality Numerical index and duality

2005-09-16

arxiv.org/abs/math/0509374v1

Math. Proc. Cambridge Philos. Soc. 142, no.1, 93-102 (2007)

Mathematics

Functional Analysis

Scientific paper

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.

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