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Thewordadjointhasanumberofrelatedmeanings.Inlinearalgebra,itreferstotheconjugatetransposeandismostcommonlydenotedA^(H).,Theorem1(Adjointoperator).LetT∈B(X)beaboundedlinearoperatoronaHilbertspaceX.ThereexistsauniqueoperatorT∗∈B(X)suchthat.〈Tx,y〉...
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LetAandA*belinearunboundedoperatorsinHwithdomainsD(A)andD(A*),respectively,andletA*betheadjointoperatorofA(asanunboundedoperator).
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