Dosiev, AMathematics2024-07-052024-07-0520060022-123610.1016/j.jfa.2005.03.0142-s2.0-29144521319https://doi.org/10.1016/j.jfa.2005.03.014https://hdl.handle.net/20.500.14411/1161In 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.eninfo:eu-repo/semantics/closedAccessCartan-Slodkowski spectraparametrized Banach space complexBanach-Lie algebraArticleQ12302446493WOS:00023399980000722