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Cartan–Slodkowski spectra, splitting elements and noncommutative spectral mapping theorems
Authors:Anar Dosiev  
Affiliation:Department of Mathematics, Atilim University, Incek 06836, Ankara, Turkey
Abstract:In this paper, we prove Slodkowski version of the infinite-dimensional spectral mapping theorem and Cartan–Slodkowski version of the finite-dimensional spectral mapping theorem for nilpotent operator Lie subalgebras with respect to the various noncommutative functional calculi.
Keywords:Cartan–  Slodkowski spectra   Parametrized Banach space complex   Banach–  Lie algebra
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