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dc.contributor.author | Bhat, B V Rajarama | en |
dc.date.accessioned | 2021-11-25T08:26:13Z | - |
dc.date.available | 2021-11-25T08:26:13Z | - |
dc.date.issued | 2021-10 | - |
dc.identifier.uri | http://hdl.handle.net/2433/266244 | - |
dc.description.abstract | A well-known theorem of W. Arveson states that a completely positive (CP) map dominated (difference is CP) by a given CP map is described through a positive contraction in the commutant of the homomorphism of Stinespring representation. This contraction plays the role of Radon-Nikodym derivative of measure theory. We look at implications of this to one parameter semigroups of unital completely positive maps, known as quantum Markov semigroups. We focus our attention to quantum Markov semigroups of B(H), the algebra of all bounded operators on a Hilbert space. These semigroups can be dilated to semigroups of unital endomorphisms (E₀-semigroups) of B(K) for some other Hilbert space K. Here we see that dominated CP semigroups dilate to dominated semigroups of the dilation. Moreover at the level of Eo-semigroups the dominated CP semigroups are described through positive contractive local cocycles, which are really families of contractions of 'Radon-Nikodym derivatives' mentioned above. We analyze the structure for quantum semigroups with bounded generators. | en |
dc.language.iso | eng | - |
dc.publisher | 京都大学数理解析研究所 | ja |
dc.publisher.alternative | Research Institute for Mathematical Sciences, Kyoto University | en |
dc.subject.ndc | 410 | - |
dc.title | Domination for quantum Markov semigroups (Research on structure of operators by order and related topics) | en |
dc.type | departmental bulletin paper | - |
dc.type.niitype | Departmental Bulletin Paper | - |
dc.identifier.ncid | AN00061013 | - |
dc.identifier.jtitle | 数理解析研究所講究録 | ja |
dc.identifier.volume | 2202 | - |
dc.identifier.spage | 26 | - |
dc.identifier.epage | 26 | - |
dc.textversion | publisher | - |
dc.sortkey | 04 | - |
dc.address | India Stastical Institute | en |
dcterms.accessRights | open access | - |
dc.identifier.pissn | 1880-2818 | - |
dc.identifier.jtitle-alternative | RIMS Kokyuroku | en |
出現コレクション: | 2202 順序を用いた作用素の構造研究と関連する話題 |
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