KnowraAdjoint operatorLinked fromLinked fromThe 8 pages that link to Adjoint operator, each with the reason it gives.All 8Related 8Hilbert spaceRelated: Hilbert space geometry makes adjoints possible and underlies self-adjoint operator theory.Green's functionRelated: Adjoint Green's functions reveal reciprocity and help derive integral identities.Dual spaceRelated: Dual-space methods define adjoints by transferring a linear map's action to functionals.Fredholm alternativeRelated: Its kernel supplies the compatibility conditions for the equation's right-hand side.Operator theoryRelated: Adjoints connect operator equations to orthogonality and duality.Fredholm's theoremRelated: The adjoint kernel describes the compatibility conditions for the equation's right-hand side.Hellinger–Toeplitz theoremRelated: Comparing symmetry with the adjoint clarifies why domain assumptions matter.Petr–Douglas–Neumann theoremRelated: Adjoints turn the range condition into the product inequality in the theorem.