In mathematics, a self-adjoint operator on an infinite-dimensional complex vector space V with inner product \langle \cdot, \cdot \rangle is a linear map A that is its own adjoint.

What is meant by self-adjoint?

From Wikipedia, the free encyclopedia. In mathematics, a self-adjoint operator on an infinite-dimensional complex vector space V with inner product. (equivalently, a Hermitian operator in the finite-dimensional case) is a linear map A (from V to itself) that is its own adjoint.

What is self-adjoint of a matrix?

If the Hilbert space is finite-dimensional and an orthonormal basis has been chosen, then the operator A is self-adjoint if and only if the matrix describing A with respect to this basis is Hermitian, i.e. if it is equal to its own conjugate transpose. ... Hermitian matrices are also called self-adjoint.