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The decomposition theorems in Baer *-rings

2019/09/05 by Zbigniew Burdak, Marek Kosiek, Burdak, Zbigniew +5
Computer Science · Mathematics · #16W10 #Advanced Algebra and Logic #Advanced Operator Algebra Research #FOS: Mathematics #Holomorphic and Operator Theory #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1909.02493

openalex publication_date 2019/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show a general decomposition theorem in Baer *-rings. As a consequence the vast majority of decompositions known in the algebra of bounded Hilbert space operators are generalized to Baer *-rings. There are also results which are new in the algebra of bounded Hilbert space operators. The model of summands in Wold-Słociński decomposition in Baer *-rings is given.

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