2022
DOI: 10.13108/2022-14-1-87
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Non self-adjoint well-defined restrictions and extensions with real spectrum

Bazarkan Nuroldinovich Biyarov,
Zaruyet Almazovna Zakariyeva,
Gulnara Kaparovna Abdrasheva

Abstract: In this paper we study the spectral properties of relatively bounded well-defined perturbations of the well-defined restrictions and extensions. The work is devoted to the study of the similarity of a well-defined restriction to some self-adjoint operator in the case when the minimal operator is symmetric. We show that the system of eigenvectors forms a Riesz basis in the case of discrete spectrum. The resulting theorem is applied to the Sturm-Liouville operator and the Laplace operator.Singular perturbations … Show more

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