On the matrix representation of closed linear operators: An extension of the Von Neumann’s theory
Giuseppina Epifanio, Camillo Trapanı · Journal of Mathematical Physics · 1979
The general theory of the matrix representation of operators in scalar product space is examined. It is proved that an extension of the Von Neumann’s theory on the matrix representation of closed symmetric operators in Hilbert space is possible for a larger class of closed operators. A necessary and sufficient condition for the existence of a matrix representation of operators in ’’Von Neumann’s sense’’ is given.