{"paper":{"title":"A Riesz-Thorin type interpolation theorem in Euclidean Jordan algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"M. Seetharama Gowda, Roman Sznajder","submitted_at":"2019-05-07T13:53:24Z","abstract_excerpt":"In a Euclidean Jordan algebra $V$ of rank $n$ which carries the trace inner product, to each element $a$ we associate the eigenvalue vector $\\lambda(a)$ in $R^n$ whose components are the eigenvalues of $a$ written in the decreasing order. For any $p\\in [1,\\infty]$, we define the spectral $p$-norm of $a$ to be the $p$-norm of $\\lambda(a)$ in $R^n$. 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 f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.02572","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}