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arXiv · 1909.02493

The decomposition theorems in Baer $*$-rings

Zbigniew Burdak·Marek Kosiek·Patryk Pagacz·Marek Słociński
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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-S{\l}oci\'nski decomposition in Baer *-rings is given.

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Zbigniew Burdak, Marek Kosiek, Patryk Pagacz, Marek Słociński. 2019-09-05. The decomposition theorems in Baer $*$-rings. https://arxiv.org/abs/1909.02493

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