Cartan-Slodkowski Spectra, Splitting Elements and Noncommutative Spectral Mapping Theorems
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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. (C) 2005 Elsevier Inc. All rights reserved.
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Keywords
Cartan-Slodkowski spectra, parametrized Banach space complex, Banach-Lie algebra, Banach–Lie algebra, Cartan–Slodkowski spectra, Parametrized Banach space complex, Analysis, Functional calculus for linear operators, Several-variable operator theory (spectral, Fredholm, etc.), Banach--Lie algebra, noncommutative functional calculus, parametrized Banach space complex, Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.), Cartan--Słodkowski spectra, spectral mapping theorem
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0101 mathematics, 01 natural sciences
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OpenCitations Citation Count
13
Volume
230
Issue
2
Start Page
446
End Page
493
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CrossRef : 13
Scopus : 20
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20
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21
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1
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