The decomposition theorems in Baer $*$-rings
Rings and Algebras
2019-09-06 v1
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.
Cite
@article{arxiv.1909.02493,
title = {The decomposition theorems in Baer $*$-rings},
author = {Zbigniew Burdak and Marek Kosiek and Patryk Pagacz and Marek Słociński},
journal= {arXiv preprint arXiv:1909.02493},
year = {2019}
}