Selfadjoint extensions of a singular differential operator

الأصل · EN

In this work, firstly in the Hilbert space of vector-functions L² (H,(-∞,a)(b,+∞)),a<b all selfadjoint extensions of the minimal operator generated by linear singular symmetric differential expression l(·)=i d/dt+A with a selfadjoint operator coefficient A in any Hilbert space H, are described in terms of boundary values. Later structure of the spectrum of these extensions is investigated.