On extensions of commuting tuples of symmetric and isometric operators
Functional Analysis
2019-08-05 v1
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 Godi\v{c}-Lucenko Theorem is proved. An application to a multidimensional power-trigonometric moment problem is given.
Keywords
Cite
@article{arxiv.1908.00794,
title = {On extensions of commuting tuples of symmetric and isometric operators},
author = {Sergey M. Zagorodnyuk},
journal= {arXiv preprint arXiv:1908.00794},
year = {2019}
}
Comments
16 pages