Int. J. Contemp. Math. Sci., Vol. 2, No. 22, s. 1053-1067., vol.2, no.66, pp.1053-1067, 2007 (Peer-Reviewed Journal)
In this work, we prove that the closure of a symmetric operator L0
which is formed by differential expression
(L0y)(x) = −(p(x)y
(x)) − Q(x)y(x)
and with the boundary condition
cos α.y(0) + sinα.y
(0) = 0
is self adjoint where α ∈ (−∞,∞) in the space L2(0,∞; H ). Furthermore, we investigate some properties of this operator.
Mathematics Subject Classification: 47A10, 34L20
Keywords: Closure, Hilbert Space, Self-Adjoint Operator, Symmetric Operator