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.

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

• 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.

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

• 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.

• 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.