(α,<i> β</i>)-Normal differential operators for first order in Hilbert Spaces of vector-functions
TURKISH JOURNAL OF MATHEMATICS, vol.49, no.5, 2025 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 49 Issue: 5
- Publication Date: 2025
- Doi Number: 10.55730/1300-0098.3614
- Journal Name: TURKISH JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
- Karadeniz Technical University Affiliated: Yes
Abstract
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.