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Norm attaining operators from $L_1(\mu )$ into $L_\infty (\nu )$

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Abstract.

Given an arbitrary measure \(\mu\) and a localizable measure \(\nu \), we show that the set of norm attaining operators is dense in the space of all bounded linear operators from \(L_{1}(\mu )\) into \(L_{\infty }(\nu ).\)

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Authors and Affiliations

  1. Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071-Granada, Spain, , , , , , ES

    R. Payá & Y. Saleh

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  1. R. Payá
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  2. Y. Saleh
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Received: 12.5.1999

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Payá, R., Saleh, Y. Norm attaining operators from $L_1(\mu )$ into $L_\infty (\nu )$. Arch. Math. 75, 380–388 (2000). https://doi.org/10.1007/s000130050519

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  • DOI: https://doi.org/10.1007/s000130050519

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