Perturbations and operator trace functions

DOI10.1016/j.jfa.2010.12.012zbMath1218.46043arXiv1012.3306OpenAlexW2130206564MaRDI QIDQ2429772

Walter D. van Suijlekom

Publication date: 4 April 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.3306

zbMATH Keywords

perturbation theorynoncommutative geometry

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative geometry (à la Connes) (58B34) Operator means involving linear operators, shorted linear operators, etc. (47A64)

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Cites Work

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• Inner fluctuations of the spectral action
• The Fréchet derivative of an analytic function of a bounded operator with some applications
• On the Chern character of a theta-summable Fredholm module
• The spectral action principle
• Gravity and the standard model with neutrino mixing
• Field theories on deformed spaces
• Two chain rules for divided differences and Faà di Bruno’s formula
• Trace functions as Laplace transforms
• The inverse function theorem of Nash and Moser
• Universal Formula for Noncommutative Geometry Actions: Unification of Gravity and the Standard Model

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