Transfer principles, Fenchel conjugate and subdifferential formulas in Fan-Theobald-von Neumann systems
| dc.contributor.author | Jeong, Juyoung | |
| dc.contributor.author | Gowda, M. Seetharama | |
| dc.date.accessioned | 2023-08-08T22:55:14Z | |
| dc.date.available | 2023-08-08T22:55:14Z | |
| dc.date.issued | 2023-07-17 | |
| dc.description.abstract | A Fan-Theobald-von Neumann system is a triple (V,W,λ), where V and W are real inner product spaces and λ:V→W is a norm-preserving map satisfying a Fan-Theobald-von Neumann type inequality together with a condition for equality. Examples include Euclidean Jordan algebras, systems induced by certain hyperbolic polynomials, and normal decomposition systems (Eaton triples). The present article is a continuation of an earlier paper, where the concepts of commutativity, automorphisms, majorization, and reduction were introduced and elaborated. Here, we describe some transfer principles and present Fenchel conjugate and subdifferential formulas. | en_US |
| dc.description.sponsorship | The work of J. Jeong was supported by the National Research Foundation of Korea NRF-2021R1C1C2008350. | en_US |
| dc.description.uri | https://arxiv.org/abs/2307.08478 | en_US |
| dc.format.extent | 27 pages | en_US |
| dc.genre | journal articles | en_US |
| dc.genre | preprints | en_US |
| dc.identifier | doi:10.13016/m2qxdv-icwz | |
| dc.identifier.uri | https://doi.org/10.48550/arXiv.2307.08478 | |
| dc.identifier.uri | http://hdl.handle.net/11603/29139 | |
| dc.language.iso | en_US | en_US |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Mathematics Department Collection | |
| dc.relation.ispartof | UMBC Faculty Collection | |
| dc.rights | This 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. | en_US |
| dc.title | Transfer principles, Fenchel conjugate and subdifferential formulas in Fan-Theobald-von Neumann systems | en_US |
| dc.type | Text | en_US |
| dcterms.creator | https://orcid.org/0000-0001-5171-0924 | en_US |