(α,<i> β</i>)-Normal differential operators for first order in Hilbert Spaces of vector-functions

İSMAİLOV Z., İPEK AL P.

TURKISH JOURNAL OF MATHEMATICS, cilt.49, sa.5, 2025 (SCI-Expanded, Scopus, TRDizin) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 5
  • Basım Tarihi: 2025
  • Doi Numarası: 10.55730/1300-0098.3614
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this article, the relationships between (alpha, beta)-normality properties of the extensions of the minimal operator generated by the first-order differential operator expression in the Hilbert spaces of vector-functions in a finite interval and the variable operator coefficients of this differential operator expression are investigated. Then, the general form of all (alpha, beta)-normal extensions of the minimal operator in these spaces is determined under the constraints obtained for the coefficient operators.