proof ch:10-hilbert-spaces@proof-9

open in the book · parts/02-mathematical-methods/10-hilbert-spaces.tex:439

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proof : ch:10-hilbert-spaces@proof-9prooftheorem 12.18: Projection theorem12.18proposition 12.17: The complement is always a closed subspace12.17theorem 12.14: Closest point in a closed convex set12.14corollary 12.19: Double complement; the density criterion12.19definition A.248: Cyclic vector and cyclic subspaceA.248definition 12.20: Orthogonal projection operator12.20lemma A.233: Construction of the systemA.233lemma A.231: Restriction to an invariant closed subspaceA.231lemma A.267: Isometry of A\pmiμ, and closed rangeA.267proposition 12.27: Best approximation and Bessel's inequality12.27proposition 12.21: Characterization of orthogonal projections12.21theorem 12.46: Riesz representation12.46

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