Normal Extensions of Differential Operators for Degenerate First-order

SERTBAŞ M., YILMAZ F.

Lobachevskii Journal of Mathematics, cilt.45, sa.3, ss.1254-1260, 2024 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 3
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1134/s1995080224600882
  • Dergi Adı: Lobachevskii Journal of Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.1254-1260
  • Anahtar Kelimeler: degenerate differential operator, extension, formally normal operator, minimal and maximal operators, normal operator, spectrum
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

Abstract: In this paper, it is investigated that necessary and sufficient conditions for a minimal operator defined by a degenerate first-order differential operator expression in the Hilbert space to be formally normal. Also, all normal extensions of the minimal operator are given with their domains. Moreover, the spectrum set of these normal extensions is given through the family of evolution operators.