KnowraRiesz representation theoremLinked fromLinked fromThe 12 pages that link to Riesz representation theorem, each with the reason it gives.All 12Related 10Compared with 2Hilbert spaceRelated: It turns abstract linear functionals into concrete vectors using the space's inner product.Inner productRelated: It turns the inner product into a correspondence between vectors and continuous linear functionals.Dual spaceRelated: It explains when a dual can be represented by vectors, rather than treated as a separate space.Inner product spaceRelated: It converts linear measurements into inner products with representing vectors.Hahn–Banach theoremCompared with: It identifies functionals in particular settings, while Hahn–Banach extends them generally.Linear functionalRelated: It explains when functionals can be represented by vectors.Adjoint operatorRelated: It turns the dual map into an operator acting on vectors.Banach–Alaoglu theoremRelated: Compactness of bounded functional sets helps establish representation and existence results.Lax–Milgram theoremRelated: It converts the variational form into an operator on the Hilbert space.Riesz–Markov–Kakutani representation theoremRelated: The theorem is a central measure-theoretic member of this broader family.Lions–Lax–Milgram theoremRelated: It converts the form into an operator on a Hilbert space in a standard proof.Riesz's lemmaCompared with: Despite the shared name, this representation result is distinct from Riesz's lemma.