On commuting symmetric operators

Authors

  • S. M. Zagorodnyuk School of Mathematics and Mechanics, Karazin Kharkiv National University, 4 Svobody sq., Kharkiv, 61077, Ukraine

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Keywords:

Abstract

In this paper we present some conditions for a pair of commuting symmetric operators with a joint invariant dense domain in a Hilbert space, to have a commuting self-adjoint extension in the same space. The remarkable Godic-Lucenko theorem allows to get a convenient description of all such extensions.

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Published

2012-06-25

Issue

Vol. 18 No. 2 (2012)

Section

Articles

How to Cite

Zagorodnyuk, S. M. “On Commuting Symmetric Operators”. Methods of Functional Analysis and Topology, vol. 18, no. 2, June 2012, pp. 198-00, https://zen.imath.kiev.ua/index.php/mfat/article/view/515.