proof ch:10-hilbert-spaces@proof-24

open in the book · parts/02-mathematical-methods/10-hilbert-spaces.tex:1221

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proof : ch:10-hilbert-spaces@proof-24prooftheorem 12.46: Riesz representation12.46definition 12.45: Continuous linear functional; the dual12.45theorem 12.18: Projection theorem12.18corollary 12.47: H is its own dual, antilinearly12.47lemma A.247: Integration against a projection-valued measureA.247proposition A.246: Bounded Borel functional calculusA.246proposition A.245: The measures μ_x,yA.245theorem 12.38: Existence and uniqueness of the adjoint12.38

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proves Riesz representation declared parts/02-mathematical-methods/10-hilbert-spaces.tex:1221