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Cartan–Slodkowski spectra, splitting elements and noncommutative spectral mapping theorems

Authors :
Dosiev, Anar
Source :
Journal of Functional Analysis. Jan2006, Vol. 230 Issue 2, p446-493. 48p.
Publication Year :
2006

Abstract

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. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
00221236
Volume :
230
Issue :
2
Database :
Academic Search Index
Journal :
Journal of Functional Analysis
Publication Type :
Academic Journal
Accession number :
19062795
Full Text :
https://doi.org/10.1016/j.jfa.2005.03.014