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On Non-Distinguished Matrix Domains

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Abstract

In this note matrices A and B are presented such that the matrix domains (ℓ∞) A and (ℓ1)B are not distinguished. We also give an example of a matrix domain c A whose bidual is not distinguished.

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Authors and Affiliations

  1. Departamento Matemática Aplicada, E.T.S.I.A.M., Universidad de Córdoba, 14004, Cordoba, Spain

    Juan Carlos Díaz

  2. Fachbereich Mathematik, Fern Universität Hagen, Lützowstr. 125, D-58084, Hagen, Germany

    Karl-Goswin Grosse-Erdmann

Authors
  1. Juan Carlos Díaz
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  2. Karl-Goswin Grosse-Erdmann
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Correspondence to Juan Carlos Díaz.

Additional information

The research of the first author has been partially supported by the DGICYT project no. PB94-0441.

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Díaz, J.C., Grosse-Erdmann, KG. On Non-Distinguished Matrix Domains. Results. Math. 32, 285–290 (1997). https://doi.org/10.1007/BF03322139

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  • DOI: https://doi.org/10.1007/BF03322139

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