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Singular and cosingular exact sequences of quasi-Banach spaces

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Abstract.

We give a characterization of exact sequences of Banach or quasi-Banach spaces having strictly singular quotient map or strictly cosingular embedding. We present two balance principles showing that such sequences can only exist when the sizes of the subspace and the quotient space are not too different.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Extremadura, Avda de Elvas s/n, E-06071, Badajoz, Spain

    Jesús M. F. Castillo

  2. Departamento de Matemáticas, Universidad de Extremadura, Avda de Elvas s/n, E-06071, Badajoz, Spain

    Yolanda Moreno Salguero

Authors
  1. Jesús M. F. Castillo
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  2. Yolanda Moreno Salguero
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Corresponding author

Correspondence to Jesús M. F. Castillo.

Additional information

Received: 7 November 2005

The research was supported in part by the project MTM2004-02635.

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Castillo, J.M.F., Salguero, Y.M. Singular and cosingular exact sequences of quasi-Banach spaces. Arch. Math. 88, 123–132 (2007). https://doi.org/10.1007/s00013-006-1786-7

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  • DOI: https://doi.org/10.1007/s00013-006-1786-7

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