A Unified Approach to the Decomposition Theorems in Baer $$*$$-Rings
نویسندگان
چکیده
Abstract The aim of the paper is to generalize decomposition theorems showed in Bagheri-Bardi et al. (Linear Algebra Appl 583:102–118, 2019; Linear 539:117–133, 2018) by a unified approach. We show general theorem with respect hereditary property. Then vast majority decompositions known algebra Hilbert space operators generalized elements Baer $$*$$ ∗ -rings this theorem. yields also results which are new bounded operators. Additionally, model summands Wold–Słociński given -rings.
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ژورنال
عنوان ژورنال: Results in Mathematics
سال: 2021
ISSN: ['1420-9012', '1422-6383']
DOI: https://doi.org/10.1007/s00025-021-01415-4