proof app:A-long-proofs@proof-145

open in the book · appendices/A-long-proofs.tex:11989

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proof : app:A-long-proofs@proof-145prooflemma A.239: The norm of a self-adjoint operator lies in its spectrumA.239definition 12.49: Resolvent set; spectrum12.49proposition 12.52: Neumann series; the spectrum is bounded12.52proposition 12.43: Norm of a self-adjoint operator12.43proposition A.241: The polynomial calculus is isometricA.241

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proves The norm of a self-adjoint operator lies in its spectrum declared appendices/A-long-proofs.tex:11989