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Real renormings on complex Banach spaces

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Abstract

The authors prove that every complex Banach space admits an equivalent real norm that is far away from being a complex norm. Furthermore, this real norm can be chosen to share many properties with complex norms, but it is still not a complex norm.

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References

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Authors and Affiliations

  1. Department of Mathematical Sciences, Kent State University, Kent, Ohio, 44242, USA

    Francisco J. García-Pacheco

  2. Departamento de Análisis Matemático, Universidad de Valencia, Burjassot, 46100, Valencia, Spain

    Alejandro Miralles

Authors
  1. Francisco J. García-Pacheco
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  2. Alejandro Miralles
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Correspondence to Francisco J. García-Pacheco.

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García-Pacheco, F.J., Miralles, A. Real renormings on complex Banach spaces. Chin. Ann. Math. Ser. B 29, 239–246 (2008). https://doi.org/10.1007/s11401-007-0179-y

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  • DOI: https://doi.org/10.1007/s11401-007-0179-y

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