Operator integrals and sesquilinear forms

Daniel A. Dubin, Jukka Kiukas, Juha-Pekka Pellonpaa, Kari Ylinen

Research output: Contribution to journalArticlepeer-review

6 Citations (SciVal)


We consider various systematic ways of defining unbounded operator valued integrals of complex functions with respect to (mostly) positive operator measures and positive sesquilinear form measures, and investigate their relationships to each other in view of the extension theory of symmetric operators. We demonstrate the associated mathematical subtleties with a physically relevant example involving moment operators of the momentum observable of a particle confined to move on a bounded interval
Original languageEnglish
Pages (from-to)250–268
Number of pages19
JournalJournal of Mathematical Analysis and Applications
Issue number1
Early online date25 Nov 2013
Publication statusPublished - 01 May 2014
Externally publishedYes


  • vector measure
  • operator measure
  • operator integral
  • sesquilinear form
  • quantum observable
  • Operator measure
  • Operator integral
  • Quantum observable
  • Vector measure
  • Sesquilinear form


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