Cartan–Slodkowski spectra, splitting elements and noncommutative spectral mapping theorems |
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Authors: | Anar Dosiev |
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Affiliation: | Department of Mathematics, Atilim University, Incek 06836, Ankara, Turkey |
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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. |
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Keywords: | Cartan– Slodkowski spectra Parametrized Banach space complex Banach– Lie algebra |
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