C.6 Adjoints for Operators on a Hilbert Space
... By Theorem C.50, since we are dealing with complex Hilbert spaces, all positive and positive definite operators are self-adjoint. When dealing with real Hilbert spaces, the assumption of self-adjointness should be added in the definition of positive and positive definite operators. The next exercise ...
... By Theorem C.50, since we are dealing with complex Hilbert spaces, all positive and positive definite operators are self-adjoint. When dealing with real Hilbert spaces, the assumption of self-adjointness should be added in the definition of positive and positive definite operators. The next exercise ...