Geodesic
On extensions of commuting tuples of symmetric and isometric operators
Serdica Mathematical Journal, Tome 46 (2020) no. 1, pp. 19-34.

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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.
Keywords: extensions of operators, symmetric operators, isometric operators, moment problems, 47A20 
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     title = {On extensions of commuting tuples of symmetric and isometric operators},
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Zagorodnyuk, Sergey. On extensions of commuting tuples of symmetric and isometric operators. Serdica Mathematical Journal, Tome 46 (2020) no. 1, pp. 19-34. http://geodesic.mathdoc.fr/item/SMJ2_2020_46_1_a1/