proof ch:10-hilbert-spaces@proof-27

open in the book · parts/02-mathematical-methods/10-hilbert-spaces.tex:1367

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proof : ch:10-hilbert-spaces@proof-27proofproposition 12.52: Neumann series; the spectrum is bounded12.52definition 12.49: Resolvent set; spectrum12.49proposition 12.37: B(H) is a Banach algebra12.37lemma A.239: The norm of a self-adjoint operator lies in its spectrumA.239proposition A.261: Spectral theorem for a unitary operatorA.261proposition 12.53: The resolvent set is open, the resolvent analytic12.53theorem 12.54: The spectrum is compact and non-empty12.54

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