Non-compact perturbations of the spectrum of multipliers given with functions
https://doi.org/10.17586/2220-8054-2021-12-2-135-141
Abstract
The change in the spectrum of the multipliers H0 f (x, y) = xa + ye f (x, y) and H0f (x, y) = xaye f (x, y) for perturbation with partial integral operators in the spaces L2 [0, 1]2 is studied. Precise description of the essential spectrum and the existence of simple eigenvalue is received. We prove that the number of eigenvalues located below the lower edge of the essential spectrum in the model is finite.
About the Authors
R. R. Kucharov
National University of Uzbekistan
Uzbekistan
Uzbekistan
100174, Tashkent
R. R. Khamraeva
National University of Uzbekistan;
Westminster International University in Tashkent
Uzbekistan
Uzbekistan
100174, Tashkent,
100010, 12, Istiqbol str., Tashkent
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Review
For citations:
Kucharov R.R., Khamraeva R.R. Non-compact perturbations of the spectrum of multipliers given with functions. Nanosystems: Physics, Chemistry, Mathematics. 2021;12(2):135-141. https://doi.org/10.17586/2220-8054-2021-12-2-135-141
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