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The polynomial Daugavetian index of a complex Banach space

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Abstract

We introduce the polynomial Daugavetian index of an infinite-dimensional complex Banach space. This index generalizes to polynomials the Daugavetian index defined for operators by M. Martín in 2003. We also present some results about the introduced index.

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  1. Faculdade de Matemática, Universidade Federal de Uberlândia, Uberlândia, 38.400-902, Brazil

    Elisa R. Santos

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  1. Elisa R. Santos
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Correspondence to Elisa R. Santos.

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Santos, E.R. The polynomial Daugavetian index of a complex Banach space. Arch. Math. 112, 407–416 (2019). https://doi.org/10.1007/s00013-018-1268-8

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  • DOI: https://doi.org/10.1007/s00013-018-1268-8

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