SPECTRAL PROPERTIES OF SELF-ADJOINT LINEAR OPERATORS

The spectral theory mainly deals with a systemic study of inverse operators, their general properties and their relation to the original operators. Operators on Hilbert space is a basis for a comprehensive study of the spectral theory. In particular, the hermitian or self-adjoint operators are very important in many applications. In this peper, we have generalized this idea by showing that the spectrum of a self-adjoint operator on a Hilbert space also consists entirely of real values