The polar decomposition of the product of three operators
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866910337887895552 |
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| author | Du, Dingyi Xu, Qingxiang Zhao, Shuo |
| author_facet | Du, Dingyi Xu, Qingxiang Zhao, Shuo |
| contents | In the setting of adjointable operators on Hilbert $C^*$-modules, this paper deals with the polar decomposition of the product of three operators. The relationship between the polar decompositions associated with three operators is clarified. Based on this relationship, a formula for the polar decomposition of a multiplicative perturbation of an operator is provided. In addition, some characterizations of the polar decomposition associated with three operators are provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_11633 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The polar decomposition of the product of three operators Du, Dingyi Xu, Qingxiang Zhao, Shuo Functional Analysis Operator Algebras 46L08, 47A05 In the setting of adjointable operators on Hilbert $C^*$-modules, this paper deals with the polar decomposition of the product of three operators. The relationship between the polar decompositions associated with three operators is clarified. Based on this relationship, a formula for the polar decomposition of a multiplicative perturbation of an operator is provided. In addition, some characterizations of the polar decomposition associated with three operators are provided. |
| title | The polar decomposition of the product of three operators |
| topic | Functional Analysis Operator Algebras 46L08, 47A05 |
| url | https://arxiv.org/abs/2204.11633 |