A Radon-Nikodym theorem for CP-maps on Hilbert pro-C*-modules
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909617223630848 |
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| author | Amin, Bhumi Golla, Ramesh |
| author_facet | Amin, Bhumi Golla, Ramesh |
| contents | We introduce an equivalence relation on the set of all completely positive maps between Hilbert modules over pro-C*-algebras and analyze the Stinespring's construction for equivalent completely positive maps. We then give a preorder relation in the collection of all completely positive maps between Hilbert modules over pro-C*-algebras and obtain a Radon-Nikodym type theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_20057 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Radon-Nikodym theorem for CP-maps on Hilbert pro-C*-modules Amin, Bhumi Golla, Ramesh Operator Algebras Primary: 46L05, 46L08, Secondary: 46K10 We introduce an equivalence relation on the set of all completely positive maps between Hilbert modules over pro-C*-algebras and analyze the Stinespring's construction for equivalent completely positive maps. We then give a preorder relation in the collection of all completely positive maps between Hilbert modules over pro-C*-algebras and obtain a Radon-Nikodym type theorem. |
| title | A Radon-Nikodym theorem for CP-maps on Hilbert pro-C*-modules |
| topic | Operator Algebras Primary: 46L05, 46L08, Secondary: 46K10 |
| url | https://arxiv.org/abs/2409.20057 |