Abstract: Let H be a separable Hilbert space and H1=L2 (0, ∞ ;H). The all functions are defined in range[0, ∞) , their values belongs to space H, they are measurable in the meaning of Bochner and provides the condition of
If the scalar product is defined in H1 by the formula
(-1)n y (2n) +Q(x)y, |
0 ≤ x ≤ ∞ |
And boundary conditions
Y(j) (0)-h jy
(j-I)(0)=0, |
j = 1,3,......,2n-1 |
Where Q(x) is a normal operator that has pure degree spectrum for every x ∈
[0, ∞) ) in H. Assumed that domain of Q(x) is independent from x and resolvent
set of Q(x) belongs to