2019/08/02 by Zagorodnyuk, Sergey M.
#47A20 #FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.1908.00794
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.