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March 2020 An estimate for the number of eigenvalues of a Hilbert--Schmidt operator in a half-plane
Michael Gil'
Funct. Approx. Comment. Math. 62(1): 7-14 (March 2020). DOI: 10.7169/facm/1760

Abstract

Let $A$ and $\tilde{A}$ be Hilbert--Schmidt operators. For a constant $r>0$, let $i_+(r, A)$ be the number of the eigenvalues of $A$ taken with their multiplicities lying in the half-plane $\{z\in\mathbb{C}: \Re z>r\}$. We suggest the conditions that provide the equality $i_+(r, \tilde{A})=i_+(r, A)$.

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Michael Gil'. "An estimate for the number of eigenvalues of a Hilbert--Schmidt operator in a half-plane." Funct. Approx. Comment. Math. 62 (1) 7 - 14, March 2020. https://doi.org/10.7169/facm/1760

Information

Published: March 2020
First available in Project Euclid: 9 November 2019

zbMATH: 07225495
MathSciNet: MR4074383
Digital Object Identifier: 10.7169/facm/1760

Subjects:
Primary: 47B06, 47B10
Secondary: 15A18‎, 15A69

Rights: Copyright © 2020 Adam Mickiewicz University

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Vol.62 • No. 1 • March 2020
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