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Thewordadjointhasanumberofrelatedmeanings.Inlinearalgebra,itreferstotheconjugatetransposeandismostcommonlydenotedA^(H).,Theorem1(Adjointoperator).LetT∈B(X)beaboundedlinearoperatoronaHilbertspaceX.ThereexistsauniqueoperatorT∗∈B(X)suchthat.〈Tx,y〉...
ADJOINT OPERATORS Consider a Hilbert space X over a ...
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Theorem1(Adjointoperator).LetT∈B(X)beaboundedlinearoperatoronaHilbertspaceX.ThereexistsauniqueoperatorT∗∈B(X)suchthat.〈Tx,y〉 ...
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