On extensions of commuting tuples of symmetric and isometric operators
arXiv:1908.00794
Abstract
In this paper we study extensions of commuting tuples of symmetric and isometric operators to commuting tuples of self-adjoint and unitary operators. Some conditions which ensure the existence of such extensions are presented. A multidimensional analog of the Godič-Lucenko Theorem is proved. An application to a multidimensional power-trigonometric moment problem is given.
16 pages