On an integral formula for Fredholm determinants related to pairs of spectral projections

DOI10.1007/s00020-018-2461-7OpenAlexW3105307951MaRDI QIDQ723543

Martin Gebert

Publication date: 24 July 2018

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.02796

zbMATH Keywords

spectral shift functionFredholm determinantssubspace perturbation problemdifferences of spectral projections

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Perturbation theory of linear operators (47A55)

Cites Work

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• On a subspace perturbation problem
• An adiabatic theorem for section determinants of spectral projections
• An integral formula for section determinants of semi-groups of linear operators
• The asymptotics of an eigenfunction-correlation determinant for Dirac-δ perturbations

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