Functional calculus for non-commuting operators with real spectra via an iterated Cauchy formula |
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| Authors: | Mats Andersson,Johannes Sj strand |
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| Affiliation: | a Department of Mathematics, Chalmers University of Technology and the Göteborg University, SE-412 96, Göteborg, Sweden;b Centre de Mathématiques, Ecole Polytechnique, FR-91128, Palaiseau, Cedex, France and UMR 7640, CNRS, France |
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| Abstract: | We define a smooth functional calculus for a non-commuting tuple of (unbounded) operators Aj on a Banach space with real spectra and resolvents with temperate growth, by means of an iterated Cauchy formula. The construction is also extended to tuples of more general operators allowing smooth functional calculii. We also discuss the relation to the case with commuting operators. |
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| Keywords: | Functional calculus Spectrum Non-commuting operators |
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