On the Distribution of Eigenvalues of Nuclear Operators

It is shown how certain recent results in the theory of determinants and traces can be applied to obtain new theorems on the distribution of eigenvalues of nuclear operators on Banach spaces and to prove the equality of the spectral and nuclear traces of such operators. As an example, we consider a...

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Published in:Functional analysis and its applications 2024-09, Vol.58 (3), p.344-346
Main Author: Reinov, Oleg
Format: Article
Language:English
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639/766/189
639/766/530
639/766/747
Analysis
Banach spaces
Brief Communications
Eigenvalues
Functional Analysis
Mathematics
Mathematics and Statistics
Operators
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description It is shown how certain recent results in the theory of determinants and traces can be applied to obtain new theorems on the distribution of eigenvalues of nuclear operators on Banach spaces and to prove the equality of the spectral and nuclear traces of such operators. As an example, we consider a new class of operators: the class of generalized Lapresté nuclear operators.
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subjects 14/34
639/766/189
639/766/530
639/766/747
Analysis
Banach spaces
Brief Communications
Eigenvalues
Functional Analysis
Mathematics
Mathematics and Statistics
Operators
title On the Distribution of Eigenvalues of Nuclear Operators
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