Journal of Pseudo-Differential Operators and Applications, vol.14, no.2, 2023 (SCI-Expanded)
We establish all normal extensions domains structure on the weighed Hilbert space Lα2(H,(0,1)) for a formally normal minimal operators class defined by a degenerate conformable α-order differential-operator (Bu)(α)(t)+Au(t),α,t∈(0,1),where a positive selfadjoint B: H→ H has a closed range, KerB is a nontrivial subspace and A: H→ H is a selfadjoint operator. In addition, it is given the analysis of the spectrum set for any normal extensions.