Spectral decomposition of the resolvent mapSpectral measure associated to eigenvector of self-adjoint operatorProjection valued measure of bounded self-adjoint operator.Cauchy integral type formula for self-adjoint operatorShowing an element is in the resolventInverse spectral theorem, clarification from a video.Construction of exponential for an unbounded operator.$intfrac1mu-lambdadP(mu) (A-lambda I)=I$ & Projection Valued MeasuresCompactness of the resolvent - referencesWhy denote the spectral decomposition of a bounded operator as an integral?Relation between the support of spectral measure and proportionality of the identity operator
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