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q-concavity and related properties on symmetric sequence spaces

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Abstract

We introduce a new property between the q-concavity and the lower q-estimate of a Banach lattice and we get a general method to construct maximal symmetric sequence spaces that satisfies this new property but fails to be q-concave. In particular this gives examples of spaces with the Orlicz property but without cotype 2.

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Authors and Affiliations

  1. Departamento de Análisis Matemático, Universidad de Valencia, Doctor Moliner 50, E-46100, Burjassot (Valencia), Spain

    O. Blasco

  2. Departamento de Análisis Matemático, Universidad Complutense de Madrid, E-28040, Madrid, Spain

    T. Signes

Authors
  1. O. Blasco
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  2. T. Signes
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Blasco, O., Signes, T. q-concavity and related properties on symmetric sequence spaces. Positivity 6, 381–391 (2002). https://doi.org/10.1023/A:1021392931242

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