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On Vector Integral Inequalities

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Abstract.

The first author introduced an integration theory of vector functions with respect to an operator-valued measure in complete bornological locally convex vector spaces. In this paper some important results behind this Dobrakov-type integration technique in non-metrizable spaces are given.

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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, P. J. Šafárik University, Jesenná 5, 041 54, Košice, Slovakia

    Ondrej Hutník

Authors
  1. Ján Haluška
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  2. Ondrej Hutník
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Corresponding author

Correspondence to Ondrej Hutník.

Additional information

This paper was supported by Grants VEGA 2/0097/08, APVT-51-006904 and CNR–SAS project 2007–2009 ”Integration in abstract structures”.

Received: December 10, 2007., Accepted: May 6, 2008.

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Haluška, J., Hutník, O. On Vector Integral Inequalities. MedJM 6, 105–124 (2009). https://doi.org/10.1007/s00009-009-0170-9

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  • DOI: https://doi.org/10.1007/s00009-009-0170-9

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