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Research Article

Operator factorization of range space relations∗

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Pages 4397-4404 | Received 03 Sep 2020, Accepted 28 Dec 2020, Published online: 30 Jan 2021

References

  • Arens R. Operational calculus of linear relations. Pacific J Math. 1961;11:9–23.
  • Filmore PA, Williams JP. On operator range. Adv Math. 1971;7:254–281.
  • Sandovici A. Habilitation thesis: algebraical, geometrical and spectral theory of linear relations. 2018.
  • Sandovici A, Sebestyén Z. On operator factorization of linear relations. Positivity. 2013;17:1115–1122.
  • Douglas RG. On majorization, factorization, and range inclusion of operators on Hilbert space. Proc Amer Math Soc. 1966;17:413–415.
  • Popovici D, Sebestyén Z. Factorization of linear relations. Adv Math. 2013;233:40–55.
  • Sandovici A. A range matrix-type criterion for the self adjointness of symmetriclinear relations. Acta Math Hungar. 2019;158(1):27–35.

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