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Banach spaces of linear operators and homogeneous polynomials without the approximation property

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

We present many examples of Banach spaces of linear operators and homogeneous polynomials without the approximation property, improving results of Dineen and Mujica (Czechoslovak Math. J. 65(140): 367–374, 2015) and Godefroy and Saphar (Proc Am Math Soc 105:70–75, 1989).

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Authors and Affiliations

  1. IMECC, UNICAMP, Rua Sérgio Buarque de Holanda, 651, Campinas, SP, CEP 13083-859, Brazil

    Sergio A. Pérez

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  1. Sergio A. Pérez
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Correspondence to Sergio A. Pérez.

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S. Pérez was supported by CAPES and CNPq, Brazil. (corresponding author).

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Pérez, S.A. Banach spaces of linear operators and homogeneous polynomials without the approximation property. RACSAM 111, 855–862 (2017). https://doi.org/10.1007/s13398-016-0335-x

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  • DOI: https://doi.org/10.1007/s13398-016-0335-x

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