Complex analysis and operator theory journal

In mathematics, a self-adjoint operator on an infinite-dimensional complex vector space V with inner product mwe-math-element> is a linear map A that is its own adjoint.
If V is finite-dimensional with a given orthonormal basis, this is equivalent to the condition that the matrix of A is a Hermitian matrix, i.e., equal to its conjugate transpose A∗.
By the finite-dimensional spectral theorem, V has an orthonormal basis such that the matrix of A relative to this basis is a diagonal matrix with entries in the real numbers.
This article deals with applying generalizations of this concept to operators on Hilbert spaces of arbitrary dimension.