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On convergences of measurable functions in Archimedean vector lattices

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Abstract

For Archimedean vector lattices X, Y and the positive cone \({\mathbb{L}}\) of all regular linear operators L : X → Y, a theory of sequential convergences of functions connected with an \({\mathbb{L}}\) -valued measure is introduced and investigated.

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Author notes

  1. Ondrej Hutník

    Present address: , Jesenná 5, 040 01, Košice, Slovakia

Authors and Affiliations

  1. Mathematical Institute of Slovak Academy of Science, Grešákova 6, 040 01, Košice, Slovakia

    Ján Haluška

  2. Institute of Mathematics, Faculty of Science, Pavol Jozef Šafárik University in Košice, Košice, Slovakia

    Ondrej Hutník

Authors
  1. Ján Haluška
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  2. Ondrej Hutník
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Correspondence to Ondrej Hutník.

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Haluška, J., Hutník, O. On convergences of measurable functions in Archimedean vector lattices. Positivity 14, 515–527 (2010). https://doi.org/10.1007/s11117-009-0034-3

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  • DOI: https://doi.org/10.1007/s11117-009-0034-3

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