A Taylor-like expansion of a commutator with a function of self-adjoint, pairwise commuting operators
- Autores: Morten Grud Rasmussen
- Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 111, Nº 1, 2012, págs. 107-117
- Idioma: inglés
- DOI: 10.7146/math.scand.a-15216
- Enlaces
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Resumen
Let A be a ν-vector of self-adjoint, pairwise commuting operators and B a bounded operator of class Cn0(A). We prove a Taylor-like expansion of the commutator [B,f(A)] for a large class of functions f:Rν→R, generalising the one-dimensional result where A is just a self-adjoint operator. This is done using almost analytic extensions and the higher-dimensional Helffer-Sjöstrand formula.
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