Lebesgue decomposition for positive operators revisited
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909122969993216 |
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| author | Aibara, Yoshiki Ueda, Yoshimichi |
| author_facet | Aibara, Yoshiki Ueda, Yoshimichi |
| contents | We explain how Pusz--Woronowicz's idea of their functional calculus fits the theory of Lebesgue decomposition for positive operators on Hilbert spaces initially developed by Ando. In this way, we reconstruct the essential and fundamental part of the theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_15085 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Lebesgue decomposition for positive operators revisited Aibara, Yoshiki Ueda, Yoshimichi Functional Analysis We explain how Pusz--Woronowicz's idea of their functional calculus fits the theory of Lebesgue decomposition for positive operators on Hilbert spaces initially developed by Ando. In this way, we reconstruct the essential and fundamental part of the theory. |
| title | Lebesgue decomposition for positive operators revisited |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2305.15085 |