Linked from

The 21 pages that link to Dual space, each with the reason it gives.

• TensorRelated: Covectors are elements of this space and provide tensor inputs.

• Functional analysisBroader topic: Dual spaces encode how continuous linear measurements act on a space.

• Linear mapBroader topic: Linear maps into the scalar field are precisely elements of the dual space.

• Weak convergenceRelated: Weak convergence in a vector space is defined by convergence under its continuous linear functionals.

• Distribution (mathematics)Narrower topic: A distribution is an element of the continuous dual of a test-function space.

• Riesz representation theoremNarrower topic: The theorem identifies a Hilbert space with its continuous dual through the inner product.

• Linear functionalNarrower topic: It collects every possible linear functional on the given space.

• Bilinear formRelated: A bilinear form assigns a linear functional to each fixed vector in either input.

• Adjoint operatorRelated: The adjoint is induced by the dual map after inner products identify vectors with functionals.

• Banach–Alaoglu theoremNarrower topic: The theorem concerns the unit ball inside this space of functionals.

• Distribution theoryRelated: Distribution spaces are continuous duals of test-function spaces.

• Finite-dimensional vector spaceBroader topic: A finite basis induces a corresponding basis of linear functionals.

• Support functionRelated: Support functions are naturally defined on the dual space.

• Lax–Milgram theoremRelated: The theorem pairs the bilinear-form operator with data in the Hilbert space’s dual.

• Riesz–Markov–Kakutani representation theoremNarrower topic: The theorem gives a concrete measure-theoretic description of a function space's dual.

• Opposite categoryRelated: Dualization reverses linear maps, making it a standard contravariant construction.

• Eberlein–Šmulian theoremRelated: Weak convergence is defined by testing against this space.

• Operator theoryRelated: Dual spaces provide a natural setting for adjoints and weak operator convergence.

• Jean DieudonnéRelated: Duality links the spaces and operators studied in Dieudonné’s functional analysis.

• Bra–ket notationRelated: Bras belong to the dual space associated with the ket space.

• Lions–Lax–Milgram theoremRelated: The variational equation represents its right-hand side as a continuous functional.