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Norm attaining operators fromL 1 intoL ∞

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Abstract

We show that the set of norm attaining operators is dense in the space of all bounded linear operators fromL 1 intoL ∞.

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Author information

Authors and Affiliations

  1. Institut de Mathématique et d’Informatique, Université de Mons-Hainaut, 15, Avenue Maistriau, B-7000, Mons, Belgium

    Catherine Finet

  2. Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071, Granada, Spain

    Rafael Payá

Authors
  1. Catherine Finet
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  2. Rafael Payá
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Corresponding author

Correspondence to Catherine Finet.

Additional information

Partially supported by Human Capital and Mobility. Project No. ERB4050Pl922420, Geometry of Banach spaces.

Supported by D.G.I.C.Y.T., Project No. PB93-1142.

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Finet, C., Payá, R. Norm attaining operators fromL 1 intoL ∞ . Israel J. Math. 108, 139–143 (1998). https://doi.org/10.1007/BF02783045

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  • DOI: https://doi.org/10.1007/BF02783045

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