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On Lineability in Vector Integration

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Abstract

We prove the existence of infinite-dimensional linear spaces of Banach space-valued functions whose non-zero elements witness that two given notions of integrability are different: Bochner, Birkhoff, McShane, Pettis and Dunford integrability are considered.

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Authors and Affiliations

  1. Departamento de Matemática Aplicada, Facultad de Informática, Universidad de Murcia, 30100, Espinardo (Murcia), Spain

    José Rodríguez

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  1. José Rodríguez
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Correspondence to José Rodríguez.

Additional information

Partially supported by MEC and FEDER (Project MTM2008-05396) and Fundación Séneca (Project 08848/PI/08).

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Rodríguez, J. On Lineability in Vector Integration. Mediterr. J. Math. 10, 425–438 (2013). https://doi.org/10.1007/s00009-012-0190-8

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  • DOI: https://doi.org/10.1007/s00009-012-0190-8

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