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- W4288794507 abstract "Let $mathcal{H}$ be a separable Hilbert space, and $A$ be a linear operator on $mathcal{H}$ with a Hilbert-Schmidt resolvent and a bounded imaginary Hermitian component. Assuming that the spectrum of $A$ lies in the open left half-plane we suggest the conditions that provide the location of the spectrum of a bounded perturbation of $A$ in the open left half-plane. <br><br> Нехай $mathcal{H}$ - сепарабельний гільбертовий простір, а $A$ - лінійний оператор на $mathcal{H}$ з резольвентою Гільберта-Шмідта та обмеженою уявниою компонентою. Припускаючи, що спектр $A$ лежить у відкритої лівої півплощині, запропоновано пропонуємо умови, які забезпечують розташування спектру обмеженого збурення $A$ в відкритій лівій півплощині." @default.
- W4288794507 created "2022-07-30" @default.
- W4288794507 creator A5090758758 @default.
- W4288794507 date "2021-01-01" @default.
- W4288794507 modified "2023-09-26" @default.
- W4288794507 title "On Location of the Spectrum of an Operator with a Hilbert-Schmidt Resolvent in the Left Half-Plane" @default.
- W4288794507 doi "https://doi.org/10.31392/mfat-npu26_4.2021.07" @default.
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