KnowraLinear functionalLinked fromLinked fromThe 10 pages that link to Linear functional, each with the reason it gives.All 10Broader topic 2Related 5Narrower topic 2Compared with 1Dual spaceBroader topic: Each element of the dual space is exactly one linear functional.Dirac delta functionRelated: Distributions, including the delta, act as linear functionals on spaces of test functions.Linear mapBroader topic: It is the special case where the codomain is one-dimensional over the field.Hahn–Banach theoremNarrower topic: This is the object extended from the subspace to the whole space.Bilinear formCompared with: A bilinear form has two vector inputs, unlike a functional's single input.Support functionNarrower topic: Each input direction specifies the linear functional whose supremum is recorded.Lax–Milgram theoremRelated: The variational equation’s forcing term is represented by a bounded linear functional.Cramér–Wold theoremRelated: Every one-dimensional projection in the theorem is a linear functional on Euclidean space.Hyperplane separation theoremRelated: The theorem formulates separation through inequalities for a linear functional.Lévy–Steinitz theoremRelated: Scalar projections expose which directions permit rearrangement to change the sum.