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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/125/02/0187-0198

    • Keywords

       

      Hilbert space; vector measure; totally measurable vector function; vector integral; sesquilinear maps.

    • 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.

    • Author Affiliations

       

      Ion Chiţescu1 Loredana Ioana1 Radu Miculescu1 Lucian Niţă2

      1. Faculty of Mathematics and Computer Science, University of Bucharest, Bucharest, Academiei Str., 14, 010014, Romania
      2. Technical University of Civil Engineering, Bucharest, Lacul Tei Blvd., 122-124, 020396, Romania
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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