dc.date.accessioned | 2022-06-30T15:25:52Z | |
dc.date.available | 2022-06-30T15:25:52Z | |
dc.date.created | 2022-05-31T15:22:57Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Neumann, Hans Henrich Yamashita, Makoto . Lieb type convexity for positive operator monotone decreasing functions. Linear and multilinear algebra. 2022 | |
dc.identifier.uri | http://hdl.handle.net/10852/94537 | |
dc.description.abstract | We prove Lieb type convexity and concavity results for trace functionals associated with positive operator monotone (decreasing) functions and certain monotone concave functions, together with strictly positive linear maps of matrices. This gives a partial generalization of Hiai's recent work on trace functionals associated with power functions, by allowing positive operator monotone decreasing functions instead of power maps.Our proof is based on variational formula for trace functionals based on the Legendre transform, and a strengthened convexity of positive operator monotone decreasing functions in a previous work of Kirihata and the second named author. We also provide the generalization to the framework of unital tracial C -algebras based on Petz's work. | |
dc.language | EN | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.title | Lieb type convexity for positive operator monotone decreasing functions | |
dc.title.alternative | ENEngelskEnglishLieb type convexity for positive operator monotone decreasing functions | |
dc.type | Journal article | |
dc.creator.author | Neumann, Hans Henrich | |
dc.creator.author | Yamashita, Makoto | |
cristin.unitcode | 185,15,13,0 | |
cristin.unitname | Matematisk institutt | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |
dc.identifier.cristin | 2028513 | |
dc.identifier.bibliographiccitation | info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Linear and multilinear algebra&rft.volume=&rft.spage=&rft.date=2022 | |
dc.identifier.jtitle | Linear and multilinear algebra | |
dc.identifier.startpage | 1 | |
dc.identifier.endpage | 9 | |
dc.identifier.pagecount | 0 | |
dc.identifier.doi | https://doi.org/10.1080/03081087.2022.2042476 | |
dc.identifier.urn | URN:NBN:no-97087 | |
dc.type.document | Tidsskriftartikkel | |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 0308-1087 | |
dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/94537/1/03081087.2022.2042476.pdf | |
dc.type.version | PublishedVersion | |