Local characterizations for the matrix monotonicity and convexity of fixed order

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dc.contributor.author Heinavaara, Otte
dc.date.accessioned 2019-11-27T07:37:01Z
dc.date.available 2019-11-27T07:37:01Z
dc.date.issued 2018-07-15
dc.identifier.citation Heinavaara , O 2018 , ' Local characterizations for the matrix monotonicity and convexity of fixed order ' , Proceedings of the American Mathematical Society , vol. 146 , no. 9 , pp. 3791-3799 . https://doi.org/10.1090/proc/13674
dc.identifier.other PURE: 115502549
dc.identifier.other PURE UUID: d212411d-8ea1-4be3-9635-51d9cf0e9c2a
dc.identifier.other WOS: 000438582900014
dc.identifier.other Scopus: 85049987780
dc.identifier.uri http://hdl.handle.net/10138/307505
dc.description.abstract We establish local characterizations of matrix monotonicity and convexity of fixed order by giving integral representations connecting the Loewner and Kraus matrices, previously known to characterize these properties, to respective Hankel matrices. Our results are new already in the general case of matrix convexity, and our approach significantly simplifies the corresponding work on matrix monotonicity. We also obtain an extension of the original characterization for matrix convexity by Kraus and tighten the relationship between monotonicity and convexity. en
dc.format.extent 9
dc.language.iso eng
dc.relation.ispartof Proceedings of the American Mathematical Society
dc.rights other
dc.rights.uri info:eu-repo/semantics/openAccess
dc.subject Matrix monotone functions
dc.subject matrix convex functions
dc.subject 111 Mathematics
dc.title Local characterizations for the matrix monotonicity and convexity of fixed order en
dc.type Article
dc.contributor.organization Department of Mathematics and Statistics
dc.description.reviewstatus Peer reviewed
dc.relation.doi https://doi.org/10.1090/proc/13674
dc.relation.issn 0002-9939
dc.rights.accesslevel openAccess
dc.type.version acceptedVersion

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