Adjoint Operator

Understanding adjoint operator requires examining multiple perspectives and considerations. ADJOINT OPERATORS - NTNU. Its adjoint is the multiplication operator given by the conjugate function a. Definition of adjoint operator (asking for intuition). Definition of the adjoint operator: A linear operator T on an inner product space V is said to have an adjoint operator $T^ {*}$ on V if $\langle T (u),v \rangle= \langle u,T^ {*} (v) \rangle$.

Linear operators and adjoints - University of Michigan. When performing optimization in inner product spaces, often we need the “transpose” of a particular linear operator. The term transpose only applies to matrices.