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On the Schröder-Bernstein problem for Carathéodory vector lattices

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  • معلومة اضافية
    • Collection:
      Czech Academy of Sciences: dKNAV / Knihovna Akademie věd České Republiky
    • الموضوع:
      419-440
    • نبذة مختصرة :
      In this note we prove that there exists a Carathéodory vector lattice $V$ such that $V\cong V^3$ and $V\ncong V^2$. This yields that $V$ is a solution of the Schröder-Bernstein problem for Carathéodory vector lattices. We also show that no Carathéodory Banach lattice is a solution of the Schröder-Bernstein problem.
    • File Description:
      média; svazek
    • Relation:
      https://kramerius.lib.cas.cz/view/uuid:d635f906-836a-454e-bfa3-24132a2f66ff
    • الدخول الالكتروني :
      https://kramerius.lib.cas.cz/view/uuid:d635f906-836a-454e-bfa3-24132a2f66ff
    • Rights:
      policy:public
    • الرقم المعرف:
      edsbas.B10A4388