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

open in the book · parts/02-mathematical-methods/10-hilbert-spaces.tex:481

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proof : ch:10-hilbert-spaces@proof-10proofcorollary 12.19: Double complement; the density criterion12.19proposition 12.17: The complement is always a closed subspace12.17theorem 12.18: Projection theorem12.18definition 12.79: Deficiency subspaces and indices12.79definition 12.69: Operator with a domain12.69definition 12.103: Gelfand triple12.103definition 12.50: Point, continuous and residual spectrum12.50definition 12.71: Adjoint of a densely defined operator12.71theorem 12.30: Completeness, expansion, Parseval12.30theorem 12.55: The spectrum of a self-adjoint operator is real12.55

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proves Double complement; the density criterion declared parts/02-mathematical-methods/10-hilbert-spaces.tex:481