plural of adjointness

(mathematics) Used in certain contexts, in each case involving a pair of transformations, one of which is, or is analogous to, conjugation (either inner automorphism or complex conjugation).

(mathematics) The transpose of the cofactor matrix of a given square matrix. / (mathematics, linear algebra, of a matrix) Transpose conjugate.

plural of adjoint

(uncountable) The state or quality of being adjoint. / (countable) The result or product of being adjoint.

(mathematics) That may be made adjoint

(mathematics) Adjoint to itself. / (functional analysis) Being a Hilbert space operator which is Hermitian and also whose eigenvectors span the entire Hilbert space.

The condition of being self-adjoint

(category theory) One of a pair of functors such that the domain and codomain of one of them are identical to the codomain and domain of the other one, respectively, and such that there is a pair of natural transformations which turns the pair of functors into an adjunction.

plural of adjoint functor