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Numerical index of Banach spaces and duality

KOSTYANTYN BOYKO, VLADIMIR KADETS, MIGUEL MARTÍN, DIRK WERNER

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Source: Crossref

Published: Jan 1, 2007

DOI: 10.1017/s0305004106009650

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Source abstract

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.

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Numerical index of Banach spaces and duality — Mathematical Frontier Network