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On a General Approach to Construction of a Self-Adjoint Dilation for a Dissipative Operator

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We propose a general approach to the construction of a self-adjoint dilation for a densely defined dissipative operator with a non-empty set of regular points. The construction involves the boundary pairs for maximal symmetric operators. Several special cases are considered. A minimality criterion for the constructed dilation is proven.

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Authors and Affiliations

  1. V. I. Vernadsky Crimean Federal University, Simferopol, Russia

    D. V. Tretyakov & Yu. L. Kudryashov

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  1. D. V. Tretyakov
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  2. Yu. L. Kudryashov
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Correspondence to D. V. Tretyakov.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 503, 2021, pp. 121–136.

Translated by E. S. Dubtsov.

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Tretyakov, D.V., Kudryashov, Y.L. On a General Approach to Construction of a Self-Adjoint Dilation for a Dissipative Operator. J Math Sci 268, 816–826 (2022). https://doi.org/10.1007/s10958-022-06222-y

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