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dc.contributor.authorGowda, M. Seetharama
dc.contributor.authorSznajder, Roman
dc.date.accessioned2019-06-11T18:22:56Z
dc.date.available2019-06-11T18:22:56Z
dc.date.issued2019-05-07
dc.description.abstractIn a Euclidean Jordan algebra V of rank n which carries the trace inner product, to each element a we associate the eigenvalue vector λ(a) in Rn whose components are the eigenvalues of a written in the decreasing order. For any p∈[1,∞], we define the spectral p-norm of a to be the p-norm of λ(a) in Rⁿ. In a recent paper, based on the K-method of real interpolation theory and a majorization technique, we described an interpolation theorem for a linear transformation on V relative to the same spectral norm. In this paper, using standard complex function theory methods, we describe a Riesz-Thorin type interpolation theorem relative to two different spectral norms. We illustrate the result by estimating the norms of certain special linear transformations such as Lyapunov transformations, quadratic representations, and positive transformations.en_US
dc.description.urihttps://arxiv.org/abs/1905.02572en_US
dc.format.extent12 pagesen_US
dc.genrejournal articles preprintsen_US
dc.identifierdoi:10.13016/m2yylq-saq1
dc.identifier.citationM. Seetharama Gowda, Roman Sznajder, A Riesz-Thorin type interpolation theorem in Euclidean Jordan algebras,Mathematics, Functional Analysis, https://arxiv.org/abs/1905.02572en_US
dc.identifier.urihttp://hdl.handle.net/11603/14050
dc.language.isoen_USen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mathematics Department Collection
dc.relation.ispartofUMBC Faculty Collection
dc.rightsThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.
dc.subjectEuclidean Jordan algebraen_US
dc.subjectRiesz-Thorin type interpolation theoremen_US
dc.titleA Riesz-Thorin type interpolation theorem in Euclidean Jordan algebrasen_US
dc.typeTexten_US


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