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Sesquilinear uniform vector integral

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Abstract

We introduce and study an integral of Hilbert valued functions with respect to Hilbert valued measures. The integral is sesquilinear (bilinear in the real case) and takes scalar values. Basic properties of this integral are studied and some examples are introduced.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, University of Bucharest, Bucharest, Academiei Str., 14, 010014, Romania

    ION CHIŢESCU, LOREDANA IOANA & RADU MICULESCU

  2. Technical University of Civil Engineering, Bucharest, Lacul Tei Blvd., 122-124, 020396, Romania

    LUCIAN NIŢĂ

Authors
  1. ION CHIŢESCU
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  2. LOREDANA IOANA
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  3. RADU MICULESCU
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  4. LUCIAN NIŢĂ
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Corresponding author

Correspondence to RADU MICULESCU.

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Communicating Editor: B V Rajarama Bhat

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CHIŢESCU, I., IOANA, L., MICULESCU, R. et al. Sesquilinear uniform vector integral. Proc Math Sci 125, 187–198 (2015). https://doi.org/10.1007/s12044-015-0230-y

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  • DOI: https://doi.org/10.1007/s12044-015-0230-y

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