Turkish Journal of Mathematics
Abstract
In this article, the relationships between (α, β)-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 (α, β)-normal extensions of the minimal operator in these spaces is determined under the constraints obtained for the coefficient operators.
DOI
10.55730/1300-0098.3614
Keywords
Differential operator, $ (\alpha, \beta)- $normal operator, minimal and maximal operators, extensions
First Page
636
Last Page
648
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
ISMAILOV, Z. I, & İPEK AL, P (2025). (α, β)-Normal differential operators for first order in Hilbert spaces of vector-functions. Turkish Journal of Mathematics 49 (5): 636-648. https://doi.org/10.55730/1300-0098.3614
