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C.6 Adjoints for Operators on a Hilbert Space
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 ...
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