Perturbations of determinants of nuclear operators in a Hilbert space

DOI10.2989/16073606.2020.1747565OpenAlexW3043385760MaRDI QIDQ4958930

Michael I. Gil'

Publication date: 15 September 2021

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2020.1747565

zbMATH Keywords

Hilbert spaceperturbationsdeterminants

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Perturbation theory of linear operators (47A55)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dyson's constant in the asymptotics of the Fredholm determinant of the sine kernel
• Derivatives of (modified) Fredholm determinants and stability of standing and traveling waves
• Intermittency and regularized Fredholm determinants
• Zeta functions and regularized determinants on projective spaces
• Evans functions, Jost functions, and Fredholm determinants
• Higher order asymptotics of Toeplitz determinants with symbols in weighted Wiener algebras
• Some multiple summing operators defined by the determinant of a matrix
• Inequalities for regularized determinants of operators with the Nakano type modulars
• On Determinants of Integrable Operators with Shifts
• The Determinant Line Bundle for Fredholm Operators: Construction, Properties, and Classification
• The Asymptotics of the Determinant Function for a Class of Operators
• Determinant formula for the six-vertex model with reflecting end
• Traces and determinants of linear operators

This page was built for publication: Perturbations of determinants of nuclear operators in a Hilbert space